Question

Explain how to solve 4^(x + 3) = 7 using the change of base formula log base b of y equals log y over log b. In your answer, include the solution for x. Be sure to round your answer to the nearest thousandth.
like $log_{b} y=\frac{log y}{log b}$

Answer 1

Answer:

-1.596

Step-by-step explanation:

4^(x + 3) = 7

log₄ 4^(x + 3) = log₄ 7

x + 3 = log₄ 7

x + 3 = log 7 / log 4

x = -3 + log 7 / log 4

x ≈ -1.596