Answer:
-1.152 to the nearest thousandth.
Step-by-step explanation:
5e^6x+3 = 0.1
Divide both sides by 5:
e^6x+3= 0.02
Take logs to the base e of both sides:
ln e^(6x+3) = ln 0.02
6x + 3 = ln 0.02 (by the definition of a logarithm).
x = (ln 0.02 - 3) / 6
x = -1.152 .
