Question

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

Answer 1

Answer:

$-1.292$

Step-by-step explanation:

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

$log_{\frac{1}{4}}(6)=\frac{log(6)}{log(\frac{1}{4})}\approx-1.292$