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# Ask a Mathematics(Class IX-X Tuition) Question

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N

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

The angles of a triangle are x, y and 40 degree. The difference between the two angles x and y is 30 degree. Find x and y?

Chandan replied | 22/11/2016

x+y+40=180 (Sum of all angle of a triangle is 180 degree)
hence x+y=140
x-y=30 (given)
adding both equations we get : 2x=170
hence x=85
putting x value in any equation we get y=55
hence x=85
y=55

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M

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

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. What are the present ages, in years, of the son and the father?

Shikha replied | 25/11/2016

Let son's age be x . Then father's age = 6x
4(x+4)=6x+4
4x+16-6x-4=0
-2x+12=0
x=-12/-2
=6
Son's age =6, father's ages is 36.

A

Ashwini replied | 26/11/2016

Son age 8, fathers age 48.

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A

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

A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number?

Sreedevi replied | 07/12/2016

The number is 83.

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S

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

Solve the equation [(1 / 2) power 2x + 1] = 1?

Sachin replied | 27/11/2016

-2x-1=0
-2x=1
x=-1/2

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P

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

Solve (x) [(y) power m] = y (cube of x) for m?

Sachin replied | 27/11/2016

log x^2ybase y

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M

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

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

Narayan replied | 03/12/2016

(b+log2)/2log2.

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S

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

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

Shikha replied | 22/11/2016

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

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  Mathematics(Class IX-X Tuition),

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

Arunima replied | 01/12/2016

(10 power 8) - 1.

Narayan replied | 02/12/2016

x=10^8-1.

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S

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

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

Narayan replied | 02/12/2016

3^5/4

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S

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

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

Shikha replied | 22/11/2016

log 3 to the base 5.

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  Mathematics(Class IX-X Tuition),

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

S

Shiv replied | 19/11/2016

4

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S

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

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

Shikha replied | 22/11/2016

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

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K

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

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

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  Mathematics(Class IX-X Tuition),

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

Sarvajeet replied | 26/11/2016

16

Sachin replied | 27/11/2016

16

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A

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

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

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.

Sarvajeet replied | 03/12/2016

a+b=1.

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S

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

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

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).

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  Mathematics(Class IX-X Tuition),

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

P

Priti replied | 20/11/2016

1/2

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N

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

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  Mathematics(Class IX-X Tuition),

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  Mathematics(Class IX-X Tuition),

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  Mathematics(Class IX-X Tuition),

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  Mathematics(Class IX-X Tuition),

What is the difference between simple interest and compound interest?

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V

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

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  Mathematics(Class IX-X Tuition),

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  Mathematics(Class IX-X Tuition),

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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