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

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]