Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-$$\log _ { 9 } ( 3 x + 2 ) = \log _ { 9 } ( 3 x + 7 )$$
A)0
B)5
C) $\frac { 9 } { 5 }$
D)no solution

Question

Quizplus · Accepted Answer

Since the logarithms have the same base and are equal, the expressions inside must also be equal: $3x + 2 = 3x + 7$. This equation simplifies to $2 = 7$, which is not possible, indicating there is no solution.

Solve the Equation log⁡9(3x+2)=log⁡9(3x+7)\log _ { 9 } ( 3 x + 2 ) = \log _ { 9 } ( 3 x + 7 )log9​(3x+2)=log9​(3x+7)

Solve the Equation $\log _ { 9 } ( 3 x + 2 ) = \log _ { 9 } ( 3 x + 7 )$