The value of `(2log_2^(1//4^2)-3^(log27^127)-4)/(7^(4log_(49^2))-3)` is

The value of (2^(log_(2^(1/4)) 2)-3^(log_27 125)-4)/((7^(4log_(49) 2))-3) is

The ratio (2^(log_(2^(1/4))a)-3^(log_(27)(a^2+1)^3)-2a)/(7^(4log_(49)a-a-1)) simplfies to

Prove that (2^(log_(2^(1//4))x)-3^(log_(27)(x^(2)+1)^(3))-2x)/(7^(4log_(49)x)-x-1)gt0,AAx in(0,oo) .

Let y=(2^((log)_2 1/4x)-3^(log)_(27)(x^2+1)^3-2x)/(7^(4(log)_(49)x)-x-1)a n d(dy)/(dx)=a x+b , then the value of a+b is_______.

Find the value of 49^(1-log_(7)2)+5^(-log_(5)4)

Find the value of S=log_(2)4+log_(8)2+2^(log_(2)3)+3^(log_(5)4)-4^(log_(5)3)

The retio (2^(log_((11)/(4)))a-3log_(27)(a^(2)+1)^(3)-2a)/(7^(4log_(10)a-a-1)) simplifies to