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

x = 1.000

Explanation:

Subtract 3 from the given equation and you have ...

4^x = 4

Taking logarithms to the base 4, you get ...

x = log₄(4)

Using the change of base formula, this is ...

x = log(4)/log(4) = 1

x = 1.000