ln(x)+ln(5)=ln(15)

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Solution for ln(x)+ln(5)=ln(15) equation: 


Simplifying
ln(x) + ln(5) = ln(15)

Multiply ln * x
lnx + ln(5) = ln(15)

Reorder the terms for easier multiplication:
lnx + 5ln = ln(15)

Reorder the terms:
5ln + lnx = ln(15)

Reorder the terms for easier multiplication:
5ln + lnx = 15ln

Solving
5ln + lnx = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
5ln + -15ln + lnx = 15ln + -15ln

Combine like terms: 5ln + -15ln = -10ln
-10ln + lnx = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-10ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-10 + x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Add '-1x' to each side of the equation.
x + -1x = 10 + -1x

Combine like terms: x + -1x = 0
0 = 10 + -1x

Simplifying
0 = 10 + -1x

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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