ln(x)+45=ln(2*x)

Solution for ln(x)+45=ln(2*x) equation:

Simplifying
ln(x) + 45 = ln(2x)

Multiply ln * x
lnx + 45 = ln(2x)

Reorder the terms:
45 + lnx = ln(2x)

Remove parenthesis around (2x)
45 + lnx = ln * 2x

Reorder the terms for easier multiplication:
45 + lnx = 2ln * x

Multiply ln * x
45 + lnx = 2lnx

Solving
45 + lnx = 2lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-2lnx' to each side of the equation.
45 + lnx + -2lnx = 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
45 + -1lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
45 + -1lnx = 0

Add '-45' to each side of the equation.
45 + -45 + -1lnx = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1lnx = 0 + -45
-1lnx = 0 + -45

Combine like terms: 0 + -45 = -45
-1lnx = -45

Divide each side by '-1nx'.
l = 45n-1x-1

Simplifying
l = 45n-1x-1