log[5](20x+10)-log[5]x=4

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Solution for log[5](20x+10)-log[5]x=4 equation:


Simplifying
log[5](20x + 10) + -1log[5] * x = 4

Reorder the terms:
glo * 5(10 + 20x) + -1log[5] * x = 4

Reorder the terms for easier multiplication:
5glo(10 + 20x) + -1log[5] * x = 4
(10 * 5glo + 20x * 5glo) + -1log[5] * x = 4
(50glo + 100glox) + -1log[5] * x = 4

Reorder the terms for easier multiplication:
50glo + 100glox + -1 * 5glo * x = 4

Multiply -1 * 5
50glo + 100glox + -5glo * x = 4

Multiply glo * x
50glo + 100glox + -5glox = 4

Combine like terms: 100glox + -5glox = 95glox
50glo + 95glox = 4

Solving
50glo + 95glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 50glo + 95glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 50glo + 95glox = 0

The solution to this equation could not be determined.

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