MariellaN511246 MariellaN511246
  • 03-11-2022
  • Mathematics
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Use the change of base formula to evaluate the expression then convert it to a logarithm in base eight round to the nearest thousandth

Use the change of base formula to evaluate the expression then convert it to a logarithm in base eight round to the nearest thousandth class=

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AcenX75487 AcenX75487
  • 03-11-2022

Recall that the change of base formula for logarithms is:

[tex]\log_a(b)=\frac{\log_x(b)}{\log_x(a)}.[/tex]

Using the change of base formula for logarithms to the given logarithm we get:

[tex]\log_354=\frac{\log_8(54)}{\log_8(3)}.[/tex]

Therefore:

[tex]\log_3(54)=3.631.[/tex]

And:

[tex]undefined[/tex]

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