solve: log8 x=2/3

1 Answer | Add Yours

embizze's profile pic

Posted on

Solve `log_8 x=2/3` :

An equivalent equation is `x=8^(2/3)` .

The cube root of 8 is 2 and 2^2 is 4 so `x=8^(2/3)=2^2=4`

---------------------------------------------------------

`log_8 x =2/3 ==> x=4`

--------------------------------------------------------

Check: Use the change of base formula.

`log_8 4= (ln(4))/ln(8)=2/3` as required.

We’ve answered 330,827 questions. We can answer yours, too.

Ask a question