Ln(5x)+ln(x)=7

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Solution for Ln(5x)+ln(x)=7 equation: 


Simplifying
Ln(5x) + ln(x) = 7

Remove parenthesis around (5x)
nL * 5x + ln(x) = 7

Reorder the terms for easier multiplication:
5nL * x + ln(x) = 7

Multiply nL * x
5nxL + ln(x) = 7

Multiply ln * x
5nxL + lnx = 7

Reorder the terms:
lnx + 5nxL = 7

Solving
lnx + 5nxL = 7

Solving for variable 'l'.

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

Add '-5nxL' to each side of the equation.
lnx + 5nxL + -5nxL = 7 + -5nxL

Combine like terms: 5nxL + -5nxL = 0
lnx + 0 = 7 + -5nxL
lnx = 7 + -5nxL

Divide each side by 'nx'.
l = 7n-1x-1 + -5L

Simplifying
l = 7n-1x-1 + -5L

Reorder the terms:
l = -5L + 7n-1x-1

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