Question

Solve the equation. Write the answer in terms of the natural logarithm.

e^(8x+9)=14

The Solution set is { }.
Type exact answer in simplified form.

Answer 1

Explanation:

Take the natural logarithm of both sides;

8x+9 = ln (14)

Transposition;

8x= ln(14)-ln(e⁹)

`x = \frac{ ln(14) - ln( {e}^(9) ) }{8}`

`x = (1)/(8) ( ln(14) - 9)`