Question

Solve 3 ^ x + 6 = 3 ^ 4

Answer 1

The answer is -2

Explanation:

I took the quiz

Answer 2

3.93 (approx.)

Explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x = 3 ^ 4 - 6, or

3^x = 81 - 6 = 75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:

x = (ln 75) / (ln 3) = 3.93 (approx.)