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Question

Solve ln(5x+7)=8
. Round to the nearest thousandth.

Answer 1

To solve the equation ln(5x+7)=8, we need to isolate x.

First, we can exponentiate both sides of the equation using the fact that e^ln(y) = y:

e^(ln(5x+7)) = e^8

This simplifies to:

5x + 7 = e^8

Next, we can subtract 7 from both sides:

5x = e^8 - 7

Finally, we can divide both sides by 5 to solve for x:

x = (e^8 - 7) / 5

Rounding to the nearest thousandth:

x ≈ (2980.96 - 7) / 5

x ≈ 2973.96 / 5

x ≈ 594.792