Ln(4x)+ln(x)=8

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Solution for Ln(4x)+ln(x)=8 equation:


Simplifying
Ln(4x) + ln(x) = 8

Remove parenthesis around (4x)
nL * 4x + ln(x) = 8

Reorder the terms for easier multiplication:
4nL * x + ln(x) = 8

Multiply nL * x
4nxL + ln(x) = 8

Multiply ln * x
4nxL + lnx = 8

Reorder the terms:
lnx + 4nxL = 8

Solving
lnx + 4nxL = 8

Solving for variable 'l'.

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

Add '-4nxL' to each side of the equation.
lnx + 4nxL + -4nxL = 8 + -4nxL

Combine like terms: 4nxL + -4nxL = 0
lnx + 0 = 8 + -4nxL
lnx = 8 + -4nxL

Divide each side by 'nx'.
l = 8n-1x-1 + -4L

Simplifying
l = 8n-1x-1 + -4L

Reorder the terms:
l = -4L + 8n-1x-1

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