Log[4]x+3=log[4]5x^2

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Solution for Log[4]x+3=log[4]5x^2 equation:


Simplifying
Log[4] * x + 3 = log[4] * 5x2

Reorder the terms for easier multiplication:
4goL * x + 3 = log[4] * 5x2

Multiply goL * x
4goxL + 3 = log[4] * 5x2

Reorder the terms:
3 + 4goxL = log[4] * 5x2

Reorder the terms for easier multiplication:
3 + 4goxL = 4 * 5glo * x2

Multiply 4 * 5
3 + 4goxL = 20glo * x2

Multiply glo * x2
3 + 4goxL = 20glox2

Solving
3 + 4goxL = 20glox2

Solving for variable 'g'.

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

Add '-20glox2' to each side of the equation.
3 + -20glox2 + 4goxL = 20glox2 + -20glox2

Combine like terms: 20glox2 + -20glox2 = 0
3 + -20glox2 + 4goxL = 0

Add '-3' to each side of the equation.
3 + -20glox2 + -3 + 4goxL = 0 + -3

Reorder the terms:
3 + -3 + -20glox2 + 4goxL = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -20glox2 + 4goxL = 0 + -3
-20glox2 + 4goxL = 0 + -3

Combine like terms: 0 + -3 = -3
-20glox2 + 4goxL = -3

Reorder the terms:
3 + -20glox2 + 4goxL = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -20glox2 + 4goxL = 0

The solution to this equation could not be determined.

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