log[4]x+3-log[4]x=log[4]65

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Solution for log[4]x+3-log[4]x=log[4]65 equation:


Simplifying
log[4] * x + 3 + -1log[4] * x = log[4] * 65

Reorder the terms for easier multiplication:
4glo * x + 3 + -1log[4] * x = log[4] * 65

Multiply glo * x
4glox + 3 + -1log[4] * x = log[4] * 65

Reorder the terms for easier multiplication:
4glox + 3 + -1 * 4glo * x = log[4] * 65

Multiply -1 * 4
4glox + 3 + -4glo * x = log[4] * 65

Multiply glo * x
4glox + 3 + -4glox = log[4] * 65

Reorder the terms:
3 + 4glox + -4glox = log[4] * 65

Combine like terms: 4glox + -4glox = 0
3 + 0 = log[4] * 65
3 = log[4] * 65

Reorder the terms for easier multiplication:
3 = 4 * 65glo

Multiply 4 * 65
3 = 260glo

Solving
3 = 260glo

Solving for variable 'g'.

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

Add '-260glo' to each side of the equation.
3 + -260glo = 260glo + -260glo

Combine like terms: 260glo + -260glo = 0
3 + -260glo = 0

Add '-3' to each side of the equation.
3 + -3 + -260glo = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -260glo = 0 + -3
-260glo = 0 + -3

Combine like terms: 0 + -3 = -3
-260glo = -3

Divide each side by '-260lo'.
g = 0.01153846154l-1o-1

Simplifying
g = 0.01153846154l-1o-1

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