Log[5](-x)-log[5](7)=2

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Solution for Log[5](-x)-log[5](7)=2 equation:


Simplifying
Log[5](-1x) + -1log[5](7) = 2

Remove parenthesis around (-1x)
goL * 5 * -1x + -1log[5](7) = 2

Reorder the terms for easier multiplication:
5 * -1goL * x + -1log[5](7) = 2

Multiply 5 * -1
-5goL * x + -1log[5](7) = 2

Multiply goL * x
-5goxL + -1log[5](7) = 2

Reorder the terms for easier multiplication:
-5goxL + -1 * 5 * 7glo = 2

Multiply -1 * 5
-5goxL + -5 * 7glo = 2

Multiply -5 * 7
-5goxL + -35glo = 2

Reorder the terms:
-35glo + -5goxL = 2

Solving
-35glo + -5goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -35glo + -5goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -35glo + -5goxL = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 35glo + 5goxL) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + 35glo + 5goxL)' equal to zero and attempt to solve: Simplifying 2 + 35glo + 5goxL = 0 Solving 2 + 35glo + 5goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 35glo + -2 + 5goxL = 0 + -2 Reorder the terms: 2 + -2 + 35glo + 5goxL = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 35glo + 5goxL = 0 + -2 35glo + 5goxL = 0 + -2 Combine like terms: 0 + -2 = -2 35glo + 5goxL = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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