QuestionSolve the following exponential equation. Express the solution set in terms of natural logarithms or common los $$e^{5 x-2}-7=25150$$

Studdy Solution
Solve for $x$ by first adding 2 to both sides:
$$5x - 2 = \ln(25157)$$ $$5x = \ln(25157) + 2$$
Then divide both sides by 5:
$$x = \frac{\ln(25157) + 2}{5}$$
The solution set in terms of natural logarithms is:
$$x = \frac{\ln(25157) + 2}{5}$$