Xln(8)=ln(45)

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Solution for Xln(8)=ln(45) equation: 


Simplifying
Xln(8) = ln(45)

Reorder the terms for easier multiplication:
8lnX = ln(45)

Reorder the terms for easier multiplication:
8lnX = 45ln

Solving
8lnX = 45ln

Solving for variable 'l'.

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

Add '-45ln' to each side of the equation.
-45ln + 8lnX = 45ln + -45ln

Combine like terms: 45ln + -45ln = 0
-45ln + 8lnX = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-45 + 8X) = 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 '(-45 + 8X)' equal to zero and attempt to solve:

Simplifying
-45 + 8X = 0

Solving
-45 + 8X = 0

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

Add '45' to each side of the equation.
-45 + 45 + 8X = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 8X = 0 + 45
8X = 0 + 45

Combine like terms: 0 + 45 = 45
8X = 45

Add '-8X' to each side of the equation.
8X + -8X = 45 + -8X

Combine like terms: 8X + -8X = 0
0 = 45 + -8X

Simplifying
0 = 45 + -8X

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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