Question

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

7e2x + 10 = 29

Answer 1

`x=(ln((19)/(7)) )/(2)`

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=(ln((19)/(7)) )/(2)`