SOLUTION: Hello, Could you help me solve this logarithmic equation using property of equality? ln(5x-6) = ln(6)

SOLUTION: Hello, Could you help me solve this logarithmic equation using property of equality? ln(5x-6) = ln(6) - ln(x-1) Thank you so much !!

Question 828693: Hello,
Could you help me solve this logarithmic equation using property of equality?
ln(5x-6) = ln(6) - ln(x-1)
Thank you so much !!
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
ln(5x-6) = ln(6) - ln(x-1)
ln(5x-6) = ln(6/(x-1))
e^( ln(5x-6) ) = e^( ln(6/(x-1)) )
(5x-6) = 6/(x-1)
(5x-6)(x-1) = 6
5xx - 5x - 6x + 6 = 6
5xx - 11x = 0
---
the above quadratic equation is in standard form, with a=5, b=-11, and c=0
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
5 -11 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic has two real roots at:
---
answer:
x = 2.2
x = 0
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Hello, could you help me with this logarithmic equation? Round to four decimal places. (answered by Alan3354)

Hello! I am clueless where to go from here: Consider the following equation: ln(x+7)... (answered by Fombitz)

I have to solve the equation, using properties of logarithms. ln x- ln(x-1)= 2... (answered by ewatrrr,solver91311)

please could you help me solve for x:... (answered by nerdybill)

-could you please help me in this problem solve for x: ln(x-1)=ln(x-2)-ln... (answered by josgarithmetic)

Solve the equation(No mixed numbers to be used in the answer) ln(5x-6)+ln(x)=ln(e)... (answered by richard1234)

How do you solve this equation exactly for x?... (answered by fcabanski)

good morning would you help me find the logarithmic equation 6+ln(8x)=24-2... (answered by stanbon,rothauserc)

Can you please help me with this equation? ln(x-5)-ln(x+4)=... (answered by scott8148)