Solve for $y$ in terms of $x$.
\[
\log _{5} y=\log _{5} x-\log _{5} 11+\log _{5} 8
\]
\[
y=\square
\]
(Simplify your answer.)

Answer

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Answer

The final answer is $ y=\boxed{\frac{8x}{11}} $

Steps

Step 1 ：Simplify the right side of the equation using the properties of logarithms. We know that $ \log_b a - \log_b c = \log_b \frac{a}{c} $ and $ \log_b a + \log_b c = \log_b ac $. So, we can rewrite the right side of the equation as $ \log_5 \frac{x*8}{11} $.

Step 2 ：Remove the logarithm by raising both sides of the equation to the base of the logarithm, which is 5 in this case. This will give us the value of $ y $ in terms of $ x $.

Step 3 ：The final answer is $ y=\boxed{\frac{8x}{11}} $

Solve for $y$ in terms of $x$.\[\log _{5} y=\log _{5} x-\log _{5} 11+\log _{5} 8\]\[y=\square\](Simplify your answer.)

Answer

Popular Problems

Solve for $y$ in terms of $x$.
\[
\log _{5} y=\log _{5} x-\log _{5} 11+\log _{5} 8
\]
\[
y=\square
\]
(Simplify your answer.)