Solve the equation, etc

Question

1. Solve the equation 4^2x = 2^{x - 6}. Enter every step.(10 points)

2. Solve the equation log₅(6x - 1) = 3. Enter every step.(10 points)

3. Expand the expression . Enter every step. (10 points)

Answer 1

= ln (2x³) - ln(5y)

= ln(2) + ln(x³) -ln(5) -ln(y)

= ln(2) + 3ln(x) -ln(5) -ln(y)

= 3ln(x) -ln(y) +ln(2) -ln(5)

You could stop here, or continue as follows:

= 3ln(x) -ln(y) +ln(2/5)

≈ 3ln(x) -ln(y) -0.9162907319