Question

Solve log6 22 = log6 (5x–8) for x. A. x = 6 B. x = –14 C. x = –11 D. x = 0

Please help me get this answer correct ! asap

Answer 1

Both sides of the equation contain log base 6. Therefore, the input into each log must be equal.


`log(a) = log(b) \rightarrow a = b`

Set up equation where inputs are equal:


`5x - 8 = 22`

Solve for x:


`5x = 22+8 = 30 \\ \\ x = (30/5) = 6`

Answer is A) x=6