Solve for x: 2^7x-5=16

Question

7x-5 is all one exponent attached to the 2

Answer 1

Hello, Charles,

The first step I took was to modify the equation so that we have the same base (2) for both sides:

2^(7x-5) = 16

2^(7x-5) = 2⁴

In this form, both sides are equal only if their exponents are equal, since now they are both raised to the same power

7x - 5 = 4

7x = 9

x = (9/7)

I hope this helps,

Bob