I need the steps to these questions please

Question

1)Solve the equation 4^2x=2^x-6. List every step.

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

3)Expand the expression ln 2x³/5y. List every step.

Answer 1

1) To solve this the bases must be the same so rewrite 4 as 2^2 which gives us 2^2(2x) = 2^x-6 which means that 2(2x) must = x-6

4x = x-6 3x=-6 X=-2

2) Need to change this from log form to exponential form which gives us 5^3 = 6x-1

125= 6x -1. 6x=126. X= 21

3) The only way I see to rewrite this is (2x^3 )(5y^-1) or 10x^3y^-1