Solve a logarithmic equation How do I solve this logarithmic equation for x without calculator?

Logan Wyatt

Logan Wyatt

Answered question

2022-07-03

Solve a logarithmic equation
How do I solve this logarithmic equation for x without calculator?
log ( x ) = log ( x 6 )

Answer & Explanation

cefflid6y

cefflid6y

Beginner2022-07-04Added 13 answers

log ( a ) = log ( b ) a = b. Hence, we have
x = x 6
Now let x = t > 0. We then get that
t = t 2 6 t 2 t 6 = 0 ( t 3 ) ( t + 2 ) = 0 t = 2 , + 3
But we have t = x > 0. Hence, t = 3 x = 9

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?