log(3600)=log(30X)

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Solution for log(3600)=log(30X) equation:


Simplifying
log(3600) = log(30X)

Reorder the terms for easier multiplication:
3600glo = log(30X)

Remove parenthesis around (30X)
3600glo = glo * 30X

Reorder the terms for easier multiplication:
3600glo = 30glo * X

Multiply glo * X
3600glo = 30gloX

Solving
3600glo = 30gloX

Solving for variable 'g'.

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

Add '-30gloX' to each side of the equation.
3600glo + -30gloX = 30gloX + -30gloX

Combine like terms: 30gloX + -30gloX = 0
3600glo + -30gloX = 0

Factor out the Greatest Common Factor (GCF), '30glo'.
30glo(120 + -1X) = 0

Ignore the factor 30.

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 '(120 + -1X)' equal to zero and attempt to solve: Simplifying 120 + -1X = 0 Solving 120 + -1X = 0 Move all terms containing g to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1X = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1X = 0 + -120 -1X = 0 + -120 Combine like terms: 0 + -120 = -120 -1X = -120 Add 'X' to each side of the equation. -1X + X = -120 + X Combine like terms: -1X + X = 0 0 = -120 + X Simplifying 0 = -120 + X 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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