Question

Given that 2^x = 7, find the value of 4^{x-1}.

Answer 1

49/4

Explanation:

4^x-1 = (2^x)^2/4 = 7^2/4 = 49/4

Answer 2

`{4}^(x - 1) = (49)/(4)`

Explanation:

My work is in the attachment but I essentially used a hefty bit of Algebraic manipulation to turn 2^x into 4^(x-1) and then isolating that bit.

Comment if you have any questions.