Solve the equation.
-$\ln 5 + \ln ( x - 1 ) = 0$
A) $\frac { 6 } { 5 }$
B) $\frac { 5 } { 6 }$
C) $\frac { 1 } { 5 }$
D) 1

Name: Solve the equation. -$\ln 5 + \ln ( x - 1 ) = 0$ A) $\frac { 6 } { 5 }$ B) $\frac { 5 } { 6 }$ C) $\frac { 1 } { 5 }$ D) 1
Brand: Quizplus
Rating: 4.8 (31 reviews)

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $\ln 5 + \ln (x - 1) = \ln(5(x - 1))$. Setting the equation equal to zero gives $\ln(5(x - 1)) = 0$. Exponentiating both sides with base $e$ gives $5(x - 1) = 1$, leading to $x = \frac{6}{5}$.

Solve the Equation ln⁡5+ln⁡(x−1)=0\ln 5 + \ln ( x - 1 ) = 0ln5+ln(x−1)=0

Solve the Equation $\ln 5 + \ln ( x - 1 ) = 0$