Solve the logarithmic equation for x. Give an exact solution
-$\log _ { 5 } 3 + \log _ { 5 } x = 1$
A) $\frac { 5 } { 3 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

Using the logarithm property $\log_b(m) + \log_b(n) = \log_b(mn)$, the equation becomes $\log_5(3x) = 1$. Solving for $x$ using the definition of a logarithm, $5^1 = 3x$, gives $x = \frac{5}{3}$.

Solve the Logarithmic Equation for X log⁡53+log⁡5x=1\log _ { 5 } 3 + \log _ { 5 } x = 1log5​3+log5​x=1

Solve the Logarithmic Equation for X $\log _ { 5 } 3 + \log _ { 5 } x = 1$