In(6x+5)-ln(x)=on(7)

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Solution for In(6x+5)-ln(x)=on(7) equation: 


Simplifying
In(6x + 5) + -1ln(x) = on(7)

Reorder the terms:
nI(5 + 6x) + -1ln(x) = on(7)
(5 * nI + 6x * nI) + -1ln(x) = on(7)
(5nI + 6nxI) + -1ln(x) = on(7)

Multiply ln * x
5nI + 6nxI + -1lnx = on(7)

Reorder the terms:
-1lnx + 5nI + 6nxI = on(7)

Reorder the terms for easier multiplication:
-1lnx + 5nI + 6nxI = 7no

Solving
-1lnx + 5nI + 6nxI = 7no

Solving for variable 'l'.

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

Add '-5nI' to each side of the equation.
-1lnx + 5nI + -5nI + 6nxI = -5nI + 7no

Combine like terms: 5nI + -5nI = 0
-1lnx + 0 + 6nxI = -5nI + 7no
-1lnx + 6nxI = -5nI + 7no

Add '-6nxI' to each side of the equation.
-1lnx + 6nxI + -6nxI = -5nI + 7no + -6nxI

Combine like terms: 6nxI + -6nxI = 0
-1lnx + 0 = -5nI + 7no + -6nxI
-1lnx = -5nI + 7no + -6nxI

Divide each side by '-1nx'.
l = 5x-1I + -7ox-1 + 6I

Simplifying
l = 5x-1I + -7ox-1 + 6I

Reorder the terms:
l = 6I + -7ox-1 + 5x-1I

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