Show that `sqrt(10^(2+(1/2log16)))=20` ,where the base of log is 10.

9^(1+log x)-3^(1+log x)-210=0 where the base of log is 10

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

Solve for x: a) (log_(10)(x-3))/(log_(10)(x^(2)-21)) = 1/2 b) log(log x)+log(logx^(3)-2)= 0, where base of log is 10. c) log_(x)2. log_(2x)2 = log_(4x)2 d) 5^(logx)+5x^(log5)=3(a gt 0), where base of log is 3. e) If 9^(1+logx)-3^(1+logx)-210=0 , where base of log is 3.

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

Show that log_(2)log_(2)log_(2) 16=1

Solve for x, (a) (log_(10)(x-3))/(log_(10)(x^(2)-21))=(1)/(2),(b)log(log x)+log(log x^(3)-2)=0; where base of log is 10 everywhere.

Find all the solutions of the equation |x-1|^((log x)^(2)-log x^(2))=|x-1|^(3), where base of logarithm is 10

Show that log_(2)10-log_(8)125 =1

The domain of definition of f(x)=sqrt(log(log x)-log(4-log x)-log3) is (base of log is 10)