2lnx+7=ln(4x)+10

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Solution for 2lnx+7=ln(4x)+10 equation:


Simplifying
2lnx + 7 = ln(4x) + 10

Reorder the terms:
7 + 2lnx = ln(4x) + 10

Remove parenthesis around (4x)
7 + 2lnx = ln * 4x + 10

Reorder the terms for easier multiplication:
7 + 2lnx = 4ln * x + 10

Multiply ln * x
7 + 2lnx = 4lnx + 10

Reorder the terms:
7 + 2lnx = 10 + 4lnx

Solving
7 + 2lnx = 10 + 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
7 + 2lnx + -4lnx = 10 + 4lnx + -4lnx

Combine like terms: 2lnx + -4lnx = -2lnx
7 + -2lnx = 10 + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
7 + -2lnx = 10 + 0
7 + -2lnx = 10

Add '-7' to each side of the equation.
7 + -7 + -2lnx = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -2lnx = 10 + -7
-2lnx = 10 + -7

Combine like terms: 10 + -7 = 3
-2lnx = 3

Divide each side by '-2nx'.
l = -1.5n-1x-1

Simplifying
l = -1.5n-1x-1

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