Question

Explain how to solve 2^(x + 1) = 9 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 = 2log₂(3) - 1

Step-by-step explanation:

2ˣ⁺¹ = 9

x+1 = log₂(9)

x+1 = log₂(3²)

Transfer the power value inside the bracket and put it before the log.

x+1 = 2log₂(3)

x = 2log₂(3) - 1

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