Please help with this precalc problem and show all steps of work.

Solve for $x$:

$$
\left(\frac{1}{4}\right)^x = 75
$$

Question

Please help with this precalc problem and show all steps of work.

Solve for $x$:

$$
\left(\frac{1}{4}\right)^x = 75
$$

konrad509 · Answer

[\left(\frac{1}{4}\right)^x=75\ x=\log_{\frac{1}{4}}75 
 ]

Anonymous · Answer

To solve ( 4 1 ​ ) x = 75 , we rewrite the base, take the logarithm, and solve for x . The final answer is approximately x ≈ − 3.11 . 
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Please help with this precalc problem and show all steps of work.

Solve for \(x\):

\[
\left(\frac{1}{4}\right)^x = 75
\]