`ln(sqrt(x - 8)) = 5` Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

Textbook Question

Chapter 3, 3.4 - Problem 50 - Precalculus (3rd Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

Educator Approved

Educator Approved
loves2learn's profile pic

loves2learn | (Level 3) Salutatorian

Posted on

Change to `log_e `

`log_(e)sqrt(x-8)=5 `

`e^5=sqrt(x-8) `

`(e^(5))^(2)=x-8`

`e^10+8=x `

`x=22034.466 `

We’ve answered 318,928 questions. We can answer yours, too.

Ask a question