Question

What is the solution of log3(3x+2)=log3(4x-6)

A)-8
B)-6
C)8
D)9

Answer 1

solution is 8 Answer is C

Answer 2

x=8 Option C is correct

Step-by-step explanation:

We have been given with the function:
`log_3(3x+2)=log_3(4x-6)`

Here, we have same base of logarithmic function on both sides of the equation.

So, we will equate the values on right hand side and left hand side of the equation we will get
`3x+2=4x-6`

After simplification we will get
`3x-4x=-6-2`

After further simplification we will get
`-x=-8`

Hence,
`x=8`

Therefore Option C is correct.