Answer:
the approximate value of x is 594.791.
Explanation:
e^(ln(5x + 7)) = e^8
The natural logarithm and exponential functions are inverses of each other, so they cancel out:
5x + 7 = e^8
5x = e^8 - 7
Divide both sides by 5:
x = (e^8 - 7) / 5
x ≈ (e^8 - 7) / 5 ≈ (2980.957987 - 7) / 5 ≈ 2973.957987 / 5 ≈ 594.791