Question

How do you solve `ln(x^7) − ln(x^2) = 5`?

Answer 1

Use properties of logarithms to combine the two natural logs and then pull the exponent out front.

Explanation:

`ln(x^7)-ln(x^2)=5`

`ln(x^7/x^2)=5`

`ln(x^5)=5`

`5ln(x)=5`

`ln(x)=1`

`x=e`