7+ln(8x)=25-lnx

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Solution for 7+ln(8x)=25-lnx equation:


Simplifying
7 + ln(8x) = 25 + -1lnx

Remove parenthesis around (8x)
7 + ln * 8x = 25 + -1lnx

Reorder the terms for easier multiplication:
7 + 8ln * x = 25 + -1lnx

Multiply ln * x
7 + 8lnx = 25 + -1lnx

Solving
7 + 8lnx = 25 + -1lnx

Solving for variable 'l'.

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

Add 'lnx' to each side of the equation.
7 + 8lnx + lnx = 25 + -1lnx + lnx

Combine like terms: 8lnx + lnx = 9lnx
7 + 9lnx = 25 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
7 + 9lnx = 25 + 0
7 + 9lnx = 25

Add '-7' to each side of the equation.
7 + -7 + 9lnx = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 9lnx = 25 + -7
9lnx = 25 + -7

Combine like terms: 25 + -7 = 18
9lnx = 18

Divide each side by '9nx'.
l = 2n-1x-1

Simplifying
l = 2n-1x-1

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