Question

(2^(5x-4))/16=4. Find x

Answer 1

x = 2

Explanation:

(2^(5x-4))/16=4 can be rewritten as

2^(5x - 4)

-------------- = 2^2

2^4

Using properties of logs, this simplifies to:

2^(5x - 4 - 4) = 2^2

Cancelling out the base 2, we get:

5x - 8 = 2

Then 5x = 10 and x = 2.

Answer 2

2^(5x-4)/2^4=2^2
2^(5x-8)=2^2
5x-8=2
5x=10
x=2