Question

Use natural logarithms to solve the equation. Round to the nearest thousandth.

Answer 1

Answer:

$x=\frac{ln(\frac{19}{7}) }{2}$

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

$x=\frac{ln(\frac{19}{7}) }{2}$