Solve ln(5x+7)=8 . Round to the nearest thousandth.
To solve ln(5x+7) = 8, we first need to eliminate the natural logarithm by taking the inverse of both sides:
e^(ln(5x+7)) = e^8
5x + 7 = e^8
Now, we can isolate x by subtracting 7 from both sides:
5x = e^8 - 7
Divide by 5 to solve for x:
x = (e^8 - 7)/5
Using a calculator to find the value of e^8, we get:
x ≈ (2980.957 - 7)/5 ≈ 595.391
Therefore, x ≈ 595.391 rounded to the nearest thousandth.