Sanai Ball

2022-09-06

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places. ${\mathrm{log}}_{\frac{1}{3}}71$

Kelly Ibarra

Beginner2022-09-07Added 6 answers

Logarithm function has domain as the whole of real numbers whereas range as only positive real numbers.

The change of base formula of logarithmic function is given as ${\mathrm{log}}_{b}(M)=\frac{\mathrm{ln}(M)}{\mathrm{ln}(b)}.$

Get the required value by following the given below steps in a calculator.

* Input 71.

* Apply logarithmic function with base $\frac{1}{3}$ on it.

* Give the command of change base.

* The result obtained on screen is approximately −3.880.

The change of base formula of logarithmic function is given as ${\mathrm{log}}_{b}(M)=\frac{\mathrm{ln}(M)}{\mathrm{ln}(b)}.$

Get the required value by following the given below steps in a calculator.

* Input 71.

* Apply logarithmic function with base $\frac{1}{3}$ on it.

* Give the command of change base.

* The result obtained on screen is approximately −3.880.

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