log(x^4)+log(x^5)=7log(13x)

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Solution for log(x^4)+log(x^5)=7log(13x) equation:


Simplifying
log(x4) + log(x5) = 7log(13x)

Multiply glo * x4
glox4 + log(x5) = 7log(13x)

Multiply glo * x5
glox4 + glox5 = 7log(13x)

Remove parenthesis around (13x)
glox4 + glox5 = 7glo * 13x

Reorder the terms for easier multiplication:
glox4 + glox5 = 7 * 13glo * x

Multiply 7 * 13
glox4 + glox5 = 91glo * x

Multiply glo * x
glox4 + glox5 = 91glox

Solving
glox4 + glox5 = 91glox

Solving for variable 'g'.

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

Add '-91glox' to each side of the equation.
glox4 + -91glox + glox5 = 91glox + -91glox

Reorder the terms:
-91glox + glox4 + glox5 = 91glox + -91glox

Combine like terms: 91glox + -91glox = 0
-91glox + glox4 + glox5 = 0

Factor out the Greatest Common Factor (GCF), 'glox'.
glox(-91 + x3 + x4) = 0

Subproblem 1

Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-91 + x3 + x4)' equal to zero and attempt to solve: Simplifying -91 + x3 + x4 = 0 Solving -91 + x3 + x4 = 0 Move all terms containing g to the left, all other terms to the right. Add '91' to each side of the equation. -91 + x3 + 91 + x4 = 0 + 91 Reorder the terms: -91 + 91 + x3 + x4 = 0 + 91 Combine like terms: -91 + 91 = 0 0 + x3 + x4 = 0 + 91 x3 + x4 = 0 + 91 Combine like terms: 0 + 91 = 91 x3 + x4 = 91 Add '-1x3' to each side of the equation. x3 + -1x3 + x4 = 91 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + x4 = 91 + -1x3 x4 = 91 + -1x3 Add '-1x4' to each side of the equation. x4 + -1x4 = 91 + -1x3 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = 91 + -1x3 + -1x4 Simplifying 0 = 91 + -1x3 + -1x4 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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