AryonaL87865 AryonaL87865
  • 25-10-2022
  • Mathematics
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Use the change of base formula to compute log47.Round your answer to the nearest thousandth.

Use the change of base formula to compute log47Round your answer to the nearest thousandth class=

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KaylaneeH412237 KaylaneeH412237
  • 25-10-2022

The given logarithm is:

[tex]\log_47[/tex]

The chase of base is given by the following formula:

[tex]\log_ba=\frac{\log_xa}{\log_xb}=\frac{\ln a}{\ln b}[/tex]

If we replace a=7 and b=4, we obtain:

[tex]\begin{gathered} \log_47=\frac{\ln7}{\ln4}=\frac{1.946}{1.386} \\ \\ \log_47=1.404 \end{gathered}[/tex]

The answer is 1.404

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