Question

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

Answer 1

Answer:

$r=-3/5=-0.6$

Step-by-step 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!