Solve for $x$
\[
\log _{2}(-3 x+5)=3
\]

Answer

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Answer

Final Answer: The solution to the equation is $\boxed{-1}$.

Steps

Step 1 ：Convert the logarithmic equation into an exponential equation. The base of the logarithm becomes the base of the power, the right side of the equation becomes the exponent, and the argument of the logarithm becomes the result. So, the equation becomes $2^3 = -3x + 5$.

Step 2 ：Solve this equation for $x$.

Step 3 ：The solution to the equation is $x = -1$. This means that when $x = -1$, the equation $\log _{2}(-3 x+5)=3$ holds true.

Step 4 ：Final Answer: The solution to the equation is $\boxed{-1}$.

Solve for $x$\[\log _{2}(-3 x+5)=3\]

Answer

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Solve for $x$
\[
\log _{2}(-3 x+5)=3
\]