Log[5](X-6)+log[5](X+118)=3

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Solution for Log[5](X-6)+log[5](X+118)=3 equation:


Simplifying
Log[5](X + -6) + log[5](X + 118) = 3

Reorder the terms:
goL * 5(-6 + X) + log[5](X + 118) = 3

Reorder the terms for easier multiplication:
5goL(-6 + X) + log[5](X + 118) = 3
(-6 * 5goL + X * 5goL) + log[5](X + 118) = 3
(-30goL + 5goLX) + log[5](X + 118) = 3

Reorder the terms:
-30goL + 5goLX + glo * 5(118 + X) = 3

Reorder the terms for easier multiplication:
-30goL + 5goLX + 5glo(118 + X) = 3
-30goL + 5goLX + (118 * 5glo + X * 5glo) = 3
-30goL + 5goLX + (590glo + 5gloX) = 3

Reorder the terms:
590glo + 5gloX + -30goL + 5goLX = 3

Solving
590glo + 5gloX + -30goL + 5goLX = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 590glo + 5gloX + -30goL + 5goLX = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 590glo + 5gloX + -30goL + 5goLX = 0

The solution to this equation could not be determined.

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