Question

Explain how solve 4^(x+3) = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answer 1

Answer:

-1.596

Step-by-step explanation:

Apply log base 4 both sides

log4(4^(x+3)) = log4(7)

(x+3)log4(4) = lg7/lg4

x+3 = 1.403677461

x = -1.596322539