Solve the equation.
-$\log _ { 3 } ( 5 x + 3 ) = \log _ { 3 } ( 5 x + 7 )$
A) 0
B) $\frac { 5 } { 2 }$
C) $\varnothing$
D) 2

Question

Quizplus · Accepted Answer

Since the logarithms are equal and have the same base, the arguments must be equal. Setting $5x + 3 = 5x + 7$, we see that no value of $x$ can satisfy this equation, as adding or subtracting the same amount from both sides would not change the equality, leading to a contradiction. Therefore, there is no solution.

Solve the Equation log⁡3(5x+3)=log⁡3(5x+7)\log _ { 3 } ( 5 x + 3 ) = \log _ { 3 } ( 5 x + 7 )log3​(5x+3)=log3​(5x+7)

Solve the Equation $\log _ { 3 } ( 5 x + 3 ) = \log _ { 3 } ( 5 x + 7 )$