Question

find the value of x.

Answer 1

${4}^{x } (1 - {4}^{ - 1} ) = 24$
Thus 1-1/4= 3/4
4^x =24× 4/3
4^x = 4×4×2
2^2x= 2^5
2x= 5
x=5/2

thus x=5/2 (Mark brainliest if you found it helpful)

Answer 2

4EXPONETIAL POWER X - 4 EXPONENTIAL POWER (X-1) = 24

4 EXPONENTIAL POWER X (1-1/4)=24

4 EXPONENTIAL POWER X×3/4=24

4 EXPONENTIAL POWER X=32

4 EXPONENTIAL POWER X=4 EXPONENTIAL POWER 5/2

ON COMPARING X=5/2