Let `a = log 3, b = (log 3)/(log (log 3))`
(all logarithms on base 10) the number `a^(b)` is

log(log x)+log(log x^(3)-2)=0; where base of log is 10 everywhere.

Express log _(4)a+log_(8)a^((1)/(3))+(1)/(log_(a)8) as a logarithm to the base 2.

If a= log 2 0 log 3 , b = log 3 - log 5 and c= log 2.5 find the value of : 15^(a+ b+ c)

Let x= 2^(log 3) and y=3^(log 2) where base of the logarithm is 10,then which one of the following holds good.

If a= log 2 0 log 3 , b = log 3 - log 5 and c= log 2.5 find the value of : a + b+ c

Let N=((log)_3 135)/((log)_(15)3)-((log)_3 5)/((log)_(405)3)dot Then N is a natural number (b) a prime number an even integer (d) an odd integer

If log(2a-3b)=log a-log b, then a=

Let a=(log_(3)pi)(log_(2)3)(log_(pi)2),b=(log576)/(3log2+log3) the base of the logarithm being 10,c=2( sum of the solution of the equation (3)^(4x)-(3)^(2x+1083)+27=0) and d=7^(log_(7)2+log_(7)3) then (a+b+c+d) simplifies to

3^(log x)-2^(log x)=2^(log x+1)-3^(log x-1), where base is 10,

Let N=10^(log2-2log(log10^(3))+log(log10^(6))^(2)) where base of the logarithm is 10. The characteristic of the logarithm of N the base 3, is equal to (a) 2 (b) 3 (c) 4 (d) 5