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12-01-2022
Mathematics

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Use the change of base formula to compute log1/4 6. Round your answer to the nearest thousandth.

Use the change of base formula to compute log14 6 Round your answer to the nearest thousandth class=

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goddessboi goddessboi

12-01-2022

Answer:

[tex]-1.292[/tex]

Step-by-step explanation:

The change of base formula is [tex]log_b(a)=\frac{log(a)}{log(b)}[/tex], therefore:

[tex]log_{\frac{1}{4}}(6)=\frac{log(6)}{log(\frac{1}{4})}\approx-1.292[/tex]

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