Question

Find the exact solution (no decimal approximation) to the logarithmic equation shown:
Ln(3x-5)=10

Answer 1

\[3x-5=e ^{10}\]
\[3x=5+e ^{10}\]
\[x=5/3 + 1/3 e ^{10}\]

Answer 2

Ln(3x-5)=10

10 is same as ln(e^10) so we have ln(3x-5)=ln(e^10). Since logarithm is bijective we can say 3x-5=e^10 and rest will be easy

-wekku