ln(9x+10)-ln(x)=ln(10)

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Solution for ln(9x+10)-ln(x)=ln(10) equation:


Simplifying
ln(9x + 10) + -1ln(x) = ln(10)

Reorder the terms:
ln(10 + 9x) + -1ln(x) = ln(10)
(10 * ln + 9x * ln) + -1ln(x) = ln(10)
(10ln + 9lnx) + -1ln(x) = ln(10)

Multiply ln * x
10ln + 9lnx + -1lnx = ln(10)

Combine like terms: 9lnx + -1lnx = 8lnx
10ln + 8lnx = ln(10)

Reorder the terms for easier multiplication:
10ln + 8lnx = 10ln

Add '-10ln' to each side of the equation.
10ln + -10ln + 8lnx = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
0 + 8lnx = 10ln + -10ln
8lnx = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
8lnx = 0

Solving
8lnx = 0

Solving for variable 'l'.

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

Divide each side by '8'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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