Solve the equation.
-$$\ln ( 14 ) - \ln x = \ln ( x - 5 )$$
A)7
B) $\frac { 19 } { 2 }$
C)7, -2
D)-2

Name: Solve the equation. -\[\ln ( 14 ) - \ln x = \ln ( x - 5 )\] A)7 B) $\frac { 19 } { 2 }$ C)7, -2 D)-2
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Question

Quizplus · Accepted Answer

Using the properties of logarithms, the equation can be simplified to $\ln\left(\frac{14}{x}\right) = \ln(x - 5)$. This implies $\frac{14}{x} = x - 5$. Solving this equation for $x$ gives $x = 7$.

Solve the Equation ln⁡(14)−ln⁡x=ln⁡(x−5)\ln ( 14 ) - \ln x = \ln ( x - 5 )ln(14)−lnx=ln(x−5)

Solve the Equation $\ln ( 14 ) - \ln x = \ln ( x - 5 )$