Xlog(5)=log(20)

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Solution for Xlog(5)=log(20) equation:


Simplifying
Xlog(5) = log(20)

Reorder the terms for easier multiplication:
5gloX = log(20)

Reorder the terms for easier multiplication:
5gloX = 20glo

Solving
5gloX = 20glo

Solving for variable 'g'.

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

Add '-20glo' to each side of the equation.
-20glo + 5gloX = 20glo + -20glo

Combine like terms: 20glo + -20glo = 0
-20glo + 5gloX = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(-4 + X) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-4 + X)' equal to zero and attempt to solve: Simplifying -4 + X = 0 Solving -4 + X = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + X = 0 + 4 X = 0 + 4 Combine like terms: 0 + 4 = 4 X = 4 Add '-1X' to each side of the equation. X + -1X = 4 + -1X Combine like terms: X + -1X = 0 0 = 4 + -1X Simplifying 0 = 4 + -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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