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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 [tex]log_{b} y=\frac{log y}{log b}[/tex]

Respuesta :

MathPhys

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

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