Register
How do I work out this problem? Ln(5x-3)=Ln9-Ln(x-3)
130k views
4 votes
How do I work out this problem? Ln(5x-3)=Ln9-Ln(x-3)

User Tristan Lee
by
7.4k points

1 Answer

3 votes
Using the laws of logs, the equation can be simplified to:
5x - 3 = 9/(x - 3)
Cross-multiplying gives:
(5x - 3)(x - 3) = 9
Expanding and rearranging, we get:
5x^2 - 18x = 0
which factorizes to:
x(5x - 18) = 0
Therefore x = 0, 3 3/5.
User Carlos Irano
by
8.1k points
← Prev Question Next Question →

Related questions

User Bell
asked Nov 3, 2019 139k views
What is the solution of ln(x+6)-ln9=2 x=53.50 x=60.50 x=66.50 x=72.50
Bell asked Nov 3, 2019
by Bell
8.4k points
2 answers
5 votes
139k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!