log(4)(4.5-3x)=log(4)4.5-log(4)3x

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Solution for log(4)(4.5-3x)=log(4)4.5-log(4)3x equation:


Simplifying
log(4)(4.5 + -3x) = log(4) * 4.5 + -1log(4) * 3x

Reorder the terms for easier multiplication:
4glo(4.5 + -3x) = log(4) * 4.5 + -1log(4) * 3x
(4.5 * 4glo + -3x * 4glo) = log(4) * 4.5 + -1log(4) * 3x
(18glo + -12glox) = log(4) * 4.5 + -1log(4) * 3x

Reorder the terms for easier multiplication:
18glo + -12glox = 4 * 4.5glo + -1log(4) * 3x

Multiply 4 * 4.5
18glo + -12glox = 18glo + -1log(4) * 3x

Reorder the terms for easier multiplication:
18glo + -12glox = 18glo + -1 * 4 * 3glo * x

Multiply -1 * 4
18glo + -12glox = 18glo + -4 * 3glo * x

Multiply -4 * 3
18glo + -12glox = 18glo + -12glo * x

Multiply glo * x
18glo + -12glox = 18glo + -12glox

Add '-18glo' to each side of the equation.
18glo + -18glo + -12glox = 18glo + -18glo + -12glox

Combine like terms: 18glo + -18glo = 0
0 + -12glox = 18glo + -18glo + -12glox
-12glox = 18glo + -18glo + -12glox

Combine like terms: 18glo + -18glo = 0
-12glox = 0 + -12glox
-12glox = -12glox

Add '12glox' to each side of the equation.
-12glox + 12glox = -12glox + 12glox

Combine like terms: -12glox + 12glox = 0
0 = -12glox + 12glox

Combine like terms: -12glox + 12glox = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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