Question

Solve this equation, and show work. worth 40 points.

Answer 1

`r=-3/5=-0.6`

Explanation:

We have the equation:

`6^(-3r)=6^(2r+3)`

Since their bases are the same, the exponents must be equivalent. So:

`-3r=2r+3`

Solve for r, subtract 2r from both sides:

`-5r=3`

Divide both sides by -5:

`r=-3/5=-0.6`

So, the value of r is -3/5.

And we're done!