Solve the logarithmic equation. $$14 - 13 \log _ { 3 } ( x - 5 ) = 1$$
A){ }
B) $\left\{ \frac { 11 } { 3 } \right\}$
C) $\{ 8 \}$
D) $\{ - 5 \}$

Name: Solve the logarithmic equation. \[14 - 13 \log _ { 3 } ( x - 5 ) = 1\] A){ } B) $\left\{ \frac { 11 } { 3 } \right\}$ C) $\{ 8 \}$ D) $\{ - 5 \}$
Brand: Quizplus
Rating: 4.8 (33 reviews)

Question

Solve the logarithmic equation. $$14 - 13 \log _ { 3 } ( x - 5 ) = 1$$
A){  }
B) $\left\{ \frac { 11 } { 3 } \right\}$
C) $\{ 8 \}$
D) $\{ - 5 \}$

Quizplus · Accepted Answer

Subtract 1 from both sides to get $13 \log _ { 3 } ( x - 5 ) = 13$. Divide by 13 to get $\log _ { 3 } ( x - 5 ) = 1$. This implies $x - 5 = 3^1$, so $x = 8$.

Solve the Logarithmic Equation 14−13log⁡3(x−5)=114 - 13 \log _ { 3 } ( x - 5 ) = 114−13log3​(x−5)=1

Solve the Logarithmic Equation $14 - 13 \log _ { 3 } ( x - 5 ) = 1$