Question

Whats the first answer

Answer 1

a.

`{3}^(2) * {3}^(x) = {3}^(7 \\ ) \\ \\ {3}^(2 + x) = {3}^(7) \\ 2 + x = 7 \\ x = 7 - 2 \\ x = 5`

b.

`{7}^(8) / {7}^(y) = {7}^(6) \\ {7}^(8 - y) = {7}^(6) \\ 8 - y = 6 \\ y = 8 - 6 \\ y = 2`

c.

`( {q}^(4) )^(z) = q ^(12) \\ q^(4 * z) = q^(12) \\4 z = 12 \\ (4z)/(4) = (12)/(4) \\ z = 3`

I used the laws of exponents.

Answer 2

The answer to part a is x=5.