Question

Find the exact solution to the equation. 5^(6-2x) = 25

Answer 1

x = 2

Explanation:

Note that 25 = 5² , then

`5^((6-2x))` = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2