Solve the equation.
-$\log _ { 3 } 5 - \log _ { 3 } x = 3$
A) $\frac { 5 } { 27 }$
B) $\frac { 5 } { 3 }$
C) $\frac { 27 } { 5 }$
D) $\frac { 5 } { 9 }$

Name: Solve the equation. -$\log _ { 3 } 5 - \log _ { 3 } x = 3$ A) $\frac { 5 } { 27 }$ B) $\frac { 5 } { 3 }$ C) $\frac { 27 } { 5 }$ D) $\frac { 5 } { 9 }$
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Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be rewritten as $\log_3 \left(\frac{5}{x}\right) = 3$. Solving for $x$ gives $x = \frac{5}{3^3} = \frac{5}{27}$.

Solve the Equation log⁡35−log⁡3x=3\log _ { 3 } 5 - \log _ { 3 } x = 3log3​5−log3​x=3

Solve the Equation $\log _ { 3 } 5 - \log _ { 3 } x = 3$