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

Answer

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Answer

Final Answer: $x = \boxed{-10}$

Steps

Step 1 ：To solve for $x$ in the equation $\log _{5}(-2 x+5)=2$, we can use the property of logarithms that says $a = b^c$ is equivalent to $\log_b(a) = c$. So, we can rewrite the equation as $-2x + 5 = 5^2$.

Step 2 ：Then, we can solve for $x$ by subtracting 5 from both sides of the equation and then dividing by -2.

Step 3 ：The solution to the equation is $x = -10$.

Step 4 ：Final Answer: $x = \boxed{-10}$

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

Answer

Popular Problems

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