Question

if 4 to the power x minus 4 to the power x minus 1 is equal to 24 then find the value of x

Answer 1

Given

4^x -4^(x-1) = 24

LHS=4^x - (4^x)/4

(4^x)(1-1/4)=(4^x)(3/4)=24

4^x=32

㏒32 base 4 =x

log 2^5 base 2^2 = 5/2 (log2 base 2) = 5/2 =x