Solve for x.
ln (x + 2) - ln 36 = ln x
ln(x+2) - lnx = ln 36
now it has the same form as the previous one I did for you.
You try it
To solve for x in the equation ln(x + 2) - ln 36 = ln x, we can use the properties of logarithms to simplify the equation.
Step 1: Applying the quotient property of logarithms
ln(x + 2) - ln 36 = ln x
We can rewrite this as:
ln((x + 2) / 36) = ln x
Step 2: Applying the property ln(a) = ln(b) implies a = b
Since ln((x + 2) / 36) = ln x, we can conclude that:
(x + 2) / 36 = x
Step 3: Solving for x
Multiply both sides of the equation by 36 to eliminate the fraction:
x + 2 = 36x
Move all the x terms to one side and all the constant terms to the other side:
36x - x = 2
35x = 2
Finally, divide both sides of the equation by 35 to solve for x:
x = 2/35
Therefore, the solution to the equation ln(x + 2) - ln 36 = ln x is x = 2/35.