Log[3](2x^2-5)-log[3](x)=1

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Solution for Log[3](2x^2-5)-log[3](x)=1 equation: 


Simplifying
Log[3](2x2 + -5) + -1log[3](x) = 1

Reorder the terms:
goL * 3(-5 + 2x2) + -1log[3](x) = 1

Reorder the terms for easier multiplication:
3goL(-5 + 2x2) + -1log[3](x) = 1
(-5 * 3goL + 2x2 * 3goL) + -1log[3](x) = 1
(-15goL + 6gox2L) + -1log[3](x) = 1

Reorder the terms for easier multiplication:
-15goL + 6gox2L + -1 * 3glo * x = 1

Multiply -1 * 3
-15goL + 6gox2L + -3glo * x = 1

Multiply glo * x
-15goL + 6gox2L + -3glox = 1

Reorder the terms:
-3glox + -15goL + 6gox2L = 1

Solving
-3glox + -15goL + 6gox2L = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -3glox + -15goL + 6gox2L = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -3glox + -15goL + 6gox2L = 0

The solution to this equation could not be determined.

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