Sve the problem fx log6x 3 and gx log6x - 2 solve gx

Question

1. Solve the equation.

(1/3)_{6x + 3} = 9^{x- 4}

2. Solve the equation.

e^{x - 5} = (1/e⁴)_{x + 3}

3. Solve the problem.

f(x) = log₆(x + 3) and g(x) = log₆(x - 2).

Solve g(x) = 3. What point is on the graph of g?

4. Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.

ln x + ln (x + 5) = -3

5. Solve the problem.

f(x) = log₃(x + 1) and g(x) = log₃(x - 1).

Solve f(x) = 7. What point is on the graph of f?