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Muraleedharan replied | 20/11/2016

log 27 = 3 log 3 = 1.431 ; log 3 = 0.477 ; log 9 = 2 log 3 = 2 x 0.477 = 0.954

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Rahul replied | 20/11/2016

0.954

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Priti replied | 19/11/2016

=log? 6/ log? 6^3+{log42-log? 6} /log?7^2
=log6/3log 6+{log(42/7)}/2 log7
=3/2 is ans you got it

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Muraleedharan replied | 20/11/2016

216 = 6^3; log 42 - log 6 = log (42/6) = log 7 ; [log (42) - log (6)] / log (49) = log 7 / 2 log 7 = 1/2 ; Answer = 3 + 1/2 = 3.5

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

Simplify: {[(3 - 9) / 6] power 1 / 3}?

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Martha Umesh replied | 03/12/2016

-1 power 1/3.

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Lakshmi replied | 04/12/2016

-1

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S

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

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

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Sachin replied | 27/11/2016

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

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P

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

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

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Sachin replied | 27/11/2016

log x^2ybase y

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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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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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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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Answer

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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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Priti replied | 20/11/2016

1/2

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R

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

Find a so that the graph of y = log(x) passes through the point (e, 2)?

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A

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

Solve for x the equation: [(4) power x - 2] = [(3) power x + 4]?

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

If log 2 = 0.3010 and log 3 = 0.4771, then what is the value of log 512?

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