Solve the equation.
-$$\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )$$
A) $\{ 9 \}$
B) $\{ 3 \}$
C) $\{ 3,0 \}$
D) $\varnothing$

Name: Solve the equation. -\[\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )\] A) $\{ 9 \}$ B) $\{ 3 \}$ C) $\{ 3,0 \}$ D) $\varnothing$
Brand: Quizplus
Rating: 4.8 (45 reviews)

Question

Quizplus · Accepted Answer

By converting the logarithms to the same base and solving the equation, we find that $x = 3$ is the only solution that satisfies the equation.

Solve the Equation 13log⁡2(x+6)=log⁡8(3x)\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )31​log2​(x+6)=log8​(3x)

Solve the Equation $\frac { 1 } { 3 } \log _ { 2 } ( x + 6 ) = \log _ { 8 } ( 3 x )$