Solve the equation: 9^x-3^(x+1)+1=0

e1s2kat26

e1s2kat26

Answered question

2020-11-06

Solve the equation:
9x3x+1+1=0

Answer & Explanation

pivonie8

pivonie8

Skilled2020-11-07Added 91 answers

Given:
9x3x+1+1=0
32x3x×3+1=0
Let 3x be u:
u2u×3+1=0
u=3+52,u=352
Substitute back 3x:
3x=3+52
ln(3x)=ln(3+52)
xln(3)=ln(3+52)
x=ln(3+52)ln(3)
Solve 3x=352 similarly:
x=ln(352)ln(3)

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?