elladowns4873 elladowns4873
  • 11-10-2022
  • Mathematics
contestada

Write the exponential equation y^6 = 30 in logarithmic form.Show your work here

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gilchris5806 gilchris5806
  • 11-10-2022

We have the expression:

[tex]y^6=30[/tex]

If we apply the logarithm with base 30 to both sides, we obtain:

[tex]\begin{gathered} \log_{30}(y^6)=\log_{30}(30) \\ 6\log_{30}y=1 \\ \log_{30}y=\frac{1}{6} \end{gathered}[/tex]

Answer: an equivalent logarithmic expression is log_30(y) = 1/6

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