How do I solve this logarithmic equation? solving for x How do I solve this logarithmic equation?

April Bush

April Bush

Answered question

2022-06-24

How do I solve this logarithmic equation? solving for x
How do I solve this logarithmic equation?
log 4 x = ( log 4 x ) 1 / 3

Answer & Explanation

Cahokiavv

Cahokiavv

Beginner2022-06-25Added 31 answers

I will assume that you mean
log 4 x = ( log 4 x ) 3
Let l denote the logarithm; then we wish to solve
l = l 3
Cubing both sides gives
l 3 = l
This has several solutions, since it can be rewritten as
0 = l 3 l = l ( l 2 1 ) = l ( l 1 ) ( l + 1 )
So the choices are
l = 0 log 4 x = 0 x = 1
l = 1 ?
l = 1 ?
anginih86

anginih86

Beginner2022-06-26Added 8 answers

Hint: First, define y = log 4 ( x ). Then your equation becomes y = y 3 . Solve that, then find x for each solution y.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?