Write the following in exponential form. log1.27 5.86

Question
Logarithms
asked 2021-02-02
Write the following in exponential form.
\(\displaystyle{\log{{1.27}}}{5.86}\)

Answers (1)

2021-02-03
Exponential and logarithmic functions are inverses so they can then be converted between each form. For a log form of \(\displaystyle{y}={\log{{b}}}{x}\), the exponential form is by=x.
Let \(\displaystyle{y}={\log{{1.275}}}{.86}\). Then b=1.27 and x=5.86. The exponential form is then \(\displaystyle{1.27}^{{y}}={5.86}\)
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