log[14](x-70)=3-log[14]x

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Solution for log[14](x-70)=3-log[14]x equation:


Simplifying
log[14](x + -70) = 3 + -1log[14] * x

Reorder the terms:
glo * 14(-70 + x) = 3 + -1log[14] * x

Reorder the terms for easier multiplication:
14glo(-70 + x) = 3 + -1log[14] * x
(-70 * 14glo + x * 14glo) = 3 + -1log[14] * x
(-980glo + 14glox) = 3 + -1log[14] * x

Reorder the terms for easier multiplication:
-980glo + 14glox = 3 + -1 * 14glo * x

Multiply -1 * 14
-980glo + 14glox = 3 + -14glo * x

Multiply glo * x
-980glo + 14glox = 3 + -14glox

Solving
-980glo + 14glox = 3 + -14glox

Solving for variable 'g'.

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

Add '14glox' to each side of the equation.
-980glo + 14glox + 14glox = 3 + -14glox + 14glox

Combine like terms: 14glox + 14glox = 28glox
-980glo + 28glox = 3 + -14glox + 14glox

Combine like terms: -14glox + 14glox = 0
-980glo + 28glox = 3 + 0
-980glo + 28glox = 3

Reorder the terms:
-3 + -980glo + 28glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -980glo + 28glox = 0

The solution to this equation could not be determined.

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