log^3(5m-9)=log^3*2m

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Solution for log^3(5m-9)=log^3*2m equation:


Simplifying
log3(5m + -9) = log3 * 2m

Reorder the terms:
g3lo(-9 + 5m) = log3 * 2m
(-9 * g3lo + 5m * g3lo) = log3 * 2m

Reorder the terms:
(5g3lmo + -9g3lo) = log3 * 2m
(5g3lmo + -9g3lo) = log3 * 2m

Reorder the terms for easier multiplication:
5g3lmo + -9g3lo = 2g3lo * m

Multiply g3lo * m
5g3lmo + -9g3lo = 2g3lmo

Solving
5g3lmo + -9g3lo = 2g3lmo

Solving for variable 'g'.

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

Add '-2g3lmo' to each side of the equation.
5g3lmo + -2g3lmo + -9g3lo = 2g3lmo + -2g3lmo

Combine like terms: 5g3lmo + -2g3lmo = 3g3lmo
3g3lmo + -9g3lo = 2g3lmo + -2g3lmo

Combine like terms: 2g3lmo + -2g3lmo = 0
3g3lmo + -9g3lo = 0

Factor out the Greatest Common Factor (GCF), '3g3lo'.
3g3lo(m + -3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'g3lo' equal to zero and attempt to solve: Simplifying g3lo = 0 Solving g3lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g3lo = 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 '(m + -3)' equal to zero and attempt to solve: Simplifying m + -3 = 0 Reorder the terms: -3 + m = 0 Solving -3 + m = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m = 0 + 3 m = 0 + 3 Combine like terms: 0 + 3 = 3 m = 3 Add '-1m' to each side of the equation. m + -1m = 3 + -1m Combine like terms: m + -1m = 0 0 = 3 + -1m Simplifying 0 = 3 + -1m 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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