Question

What is the solution of log Subscript 3 Baseline (3 x + 2) = log Subscript 3 Baseline (4 x minus 6)? –8 –6 8 9

Answer 1

C. 8

Explanation:

Answer 2

8

Explanation:

The equation is

`log_(3)(3x + 2) =log_(3)(4x- 6)`

Since the bases are equal, the arguments are also equal, so we obgain

`3x + 2 = 4x - 6`

Grouping like terms we obtain:

`2 + 6 = 4x - 3x`

`\implies x = 8`