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M

Mukesh 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Given: log(5) = b. Express [log base 4(10)] in terms of b?

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Narayan replied | 03/12/2016

(b+log2)/2log2.

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S

Sahil 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Express (log a)(log b) as a single logarithm?

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Shikha replied | 22/11/2016

(log a) = 1/(log b).
So, (log a) (log b ) = 1.

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Ram Mohan replied | 25/11/2016

( log a ) (log b ) =log [ (b ) power (log a) ].

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L

Laxmi 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Solve for x the equation: log [log (2 + log (x + 1))] = 0?

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Arunima replied | 01/12/2016

(10 power 8) - 1.

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Narayan replied | 02/12/2016

x=10^8-1.

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S

Subhash 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Solve for x the equation: 2 * [(b)power 4 log base b x] = 486?

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Narayan replied | 02/12/2016

3^5/4

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S

Supriyo 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Find constant A such that log base 3 x = A log base 5 x for all x > 0?

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Shikha replied | 22/11/2016

log 3 to the base 5.

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Ram Mohan replied | 25/11/2016

We know that,
log 'x' to base 'y' = log 'x' to base ' z ' * log'z' to base' y' ............. (1) and log 'p' to base 'q' = 1/ log 'q' to base 'x' ............(2) In the present context,
It is given that
log 'x' to base '3' = A log 'x'to base '5' by using formula (2) above, we can rewrite this equation as:-
log 'x' to base '3' = A * 1/ log '5' to base 'x' ==> log...  more»
We know that,
log 'x' to base 'y' = log 'x' to base ' z ' * log'z' to base' y' ............. (1) and log 'p' to base 'q' = 1/ log 'q' to base 'x' ............(2) In the present context,
It is given that
log 'x' to base '3' = A log 'x'to base '5' by using formula (2) above, we can rewrite this equation as:-
log 'x' to base '3' = A * 1/ log '5' to base 'x' ==> log '5' to base 'x' * log 'x' to base '3' = A ==> log '5' to base '3' = A ( [By using the Formula (1) above, (log'5' to base 'x' * log 'x' to base '3') becomes (" log '5' to base '3').
Therefore,
A = log 5 to base 3. «less

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N

Nalini 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Find the x intercept of the graph of y = 2 log[sqrt(x - 1) - 2]?

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S

Shiv replied | 19/11/2016

4

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Answer

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S

Swati 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Solve for the x equation: [(9) power of x] - [(3) power of x] - 8 = 0?

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Shikha replied | 22/11/2016

(3power of x -2)to the power 3

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K

Kamal 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Solve for x the equation: ln(x - 1) + ln (2x - 1) = 2 ln (x + 1)?

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Nitesh Kumar replied | 23/11/2016

This is very simple:
(x-1)(2x-1) = (x+1)(x+1)
-3x+1 = 2x +1
5x = 0
x = 0.

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B

Bhanu 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

If [log base x (1 / 8)] = -3 / 4, than what is x?

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Sarvajeet replied | 26/11/2016

16

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Sachin replied | 27/11/2016

16

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Answer

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A

Afreen 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

Solve: log (a / b) + log (b / a) = log (a + b)?

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Mamata replied | 24/11/2016

loga -log b + log b - log a = log(a+b).
log (a+b)= 0.
a+b = 1.
either a = 1 or b = 0 or a= 0 and b= 1.

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Sarvajeet replied | 03/12/2016

a+b=1.

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S

Shyam 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

What is the value of log [base 10 (1 / 70)] if log [base 10 (7)] = a?

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Ram Mohan replied | 21/11/2016

Log of 1/70 to the base 10 = -1[ log 70 to base 10] = -1 [ log (10 * 7) to base 10] = -1[ log 10 to base 10 + log 7 to base 10] =-1 [ 1 + a }, ( since it is given that log 7 to base 10 = 'a' ,and we know that log 10 to base 10 =1 )
Therefore, log ( 1/70 ) to base 10 = -(1+a).

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Chandan replied | 05/12/2016

log [base 10 (1 / 70)]=log [base 10 (70 power -1)]
=-log [base 10 (7*10)]
=-[log [base 10 (7)]+log [base 10 (10)]]
= -[a+1].

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S

Sajini 10/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Logarithms

What is the value of (1 / log 60 + 1 / log 40 + 1 / log 50)?

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P

Priti replied | 20/11/2016

1/2

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N

Nagaraj 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

What is the formula for calculating time period when number of years and number of months in conversion period is given?

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A

Awdhesh 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

A man invests Rs. 5000 for three years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 5600. Calculate the rate of interest per annum?

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R

Renuka 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

A certain sum amounts to be Rs. 5292 in 2 yrs and to be Rs 5556.60 in 3 years at the compound interest. Find the rate and the sum?

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S

Sriomprakash 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

A bank offers 5 % compound interest calculated on half yearly basis. A customer deposits Rs 1600 each on 1st january and 1st july of a year. At the end of the year, what amount he would have gained by way of interest?

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J

Jitendra 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

What is the difference between simple interest and compound interest?

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V

Vathsala 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

There is 60% increase in an amount in 6 years at the simple interest. What will be the compound interest of 1200 after 3 years at the same rate?

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H

Hima 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

At what rate of compound interest per annum will be a sum of Rs 1200 become Rs 1348.32 in 2 years?

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P

Pratheema 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is______?

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R

Rksanthosh 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

What is the effective annual rate of interest corresponding to nominal rate of 6 % per annum payable half yearly?

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N

Nazia 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

What is the sum placed on simple interest if simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum?

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N

Naveen 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

The difference between simple interest and compounded on Rs 1200 for one year at 105 per annum reckoned half yearly?

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K

Kamal 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

The compound interest on a certain sum for 2 years at 105 per annum is Rs 525. The simple interest on the same sum for double the time at half the rate percent per annum is______?

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T

Tanush 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

How much percent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 25% on the marked price, he gains 20%?

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