Question

40 POINTS PLEASE HELP

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

Answer 1

-1.596

Explanation:

4^(x + 3) = 7

log4 both sides

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

(x + 3) × log4(4) = lg7/lg4

x + 3 = 1.403677461

x = -1.596322539