27^x+3^(x+1) = 100. Find an exact solution in terms of logarithms.

kaltEvallwsr

kaltEvallwsr

Answered question

2022-11-02

27 x + 3 x + 1 = 100. Find an exact solution in terms of logarithms.
I've tried this in many different ways and can't find any leeway. I also can not find anything to help me online.

Answer & Explanation

Aiden Villa

Aiden Villa

Beginner2022-11-03Added 10 answers

Hint: Let y = 3 x and get a cubic equation for y. Then x = log 3 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?