-3 * e^(2m - 5) - 7 = -34
Add 7 to both sides
-3 * e^(2m - 5) = -27
Divide both sides by -3
e^(2m - 5) = 9 tale the Ln of both sides
Ln e ^( 2m - 5) = Ln (9) and we can write
(2m - 5) * Ln e = Ln (9) since Ln e = 1, we can ignore this
2m - 5 = Ln (9) add 5 to both sides
2m = Ln (9) + 5 divide both sides by 2
m = [ Ln (9) + 5 ] / 2 ≈ 3.5986