Equation: 4 cdot 3^x=7 cdot 5^x; I am so confused how to change the bases. I think I know I can log both to get log base 10 or natural log, but would it be ln3x/ln5x=7/4 or can I not touch the 4 and 7

Darian Hubbard

Darian Hubbard

Answered question

2022-07-26

Equation: 4 × 3 x = 7 × 5 x
I am so confused how to change the bases. I think I know I can log both to get log base 10 or natural log, but would it be ln 3 x ln 5 x = 7 4 or can I not touch the 4 and 7

Answer & Explanation

Hassan Watkins

Hassan Watkins

Beginner2022-07-27Added 18 answers

Step 1
4 × 3 x = 7 × 5 x 3 x 5 x = 7 4 ( 3 5 ) x = 7 4
falce log base to both sides
log ( 3 5 ) x = log ( 7 4 ) x log ( 3 5 ) = log ( 7 4 ) x = log ( 7 4 ) log ( 3 5 ) x = 1.0955

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?