8ln(x+5)-7ln(x)=equation

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Solution for 8ln(x+5)-7ln(x)=equation equation: 


Simplifying
8ln(x + 5) + -7ln(x) = equation

Reorder the terms:
8ln(5 + x) + -7ln(x) = equation
(5 * 8ln + x * 8ln) + -7ln(x) = equation
(40ln + 8lnx) + -7ln(x) = equation

Multiply ln * x
40ln + 8lnx + -7lnx = equation

Combine like terms: 8lnx + -7lnx = 1lnx
40ln + 1lnx = equation

Solving
40ln + 1lnx = aeinoqtu

Solving for variable 'l'.

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

Reorder the terms:
-1aeinoqtu + 40ln + 1lnx = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-1aeinoqtu + 40ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1aeioqtu + 40l + lx) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1aeioqtu + 40l + lx)' equal to zero and attempt to solve:

Simplifying
-1aeioqtu + 40l + lx = 0

Solving
-1aeioqtu + 40l + lx = 0

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

Add 'aeioqtu' to each side of the equation.
-1aeioqtu + 40l + aeioqtu + lx = 0 + aeioqtu

Reorder the terms:
-1aeioqtu + aeioqtu + 40l + lx = 0 + aeioqtu

Combine like terms: -1aeioqtu + aeioqtu = 0
0 + 40l + lx = 0 + aeioqtu
40l + lx = 0 + aeioqtu
Remove the zero:
40l + lx = aeioqtu

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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