Log[3]x^11-log[3]x^4=15

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Solution for Log[3]x^11-log[3]x^4=15 equation: 


Simplifying
Log[3] * x11 + -1log[3] * x4 = 15

Reorder the terms for easier multiplication:
3goL * x11 + -1log[3] * x4 = 15

Multiply goL * x11
3gox11L + -1log[3] * x4 = 15

Reorder the terms for easier multiplication:
3gox11L + -1 * 3glo * x4 = 15

Multiply -1 * 3
3gox11L + -3glo * x4 = 15

Multiply glo * x4
3gox11L + -3glox4 = 15

Reorder the terms:
-3glox4 + 3gox11L = 15

Solving
-3glox4 + 3gox11L = 15

Solving for variable 'g'.

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

Reorder the terms:
-15 + -3glox4 + 3gox11L = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -3glox4 + 3gox11L = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -1glox4 + gox11L) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -1glox4 + gox11L)' equal to zero and attempt to solve:

Simplifying
-5 + -1glox4 + gox11L = 0

Solving
-5 + -1glox4 + gox11L = 0

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

Add '5' to each side of the equation.
-5 + -1glox4 + 5 + gox11L = 0 + 5

Reorder the terms:
-5 + 5 + -1glox4 + gox11L = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1glox4 + gox11L = 0 + 5
-1glox4 + gox11L = 0 + 5

Combine like terms: 0 + 5 = 5
-1glox4 + gox11L = 5

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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