Question

(05.02)

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:

x=1

Explanation:

4x+3=7

subtract 3 from both sides

Simplify 7-3 to 4.

divide both sides by 4

Answer 2

-1.596

Explanation:

4^(x + 3) = 7

Apply log4 both sides

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

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

x+3 = 1.403677461

x = -1.596322539