Log(7)25=log(7)5

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Solution for Log(7)25=log(7)5 equation:


Simplifying
Log(7) * 25 = log(7) * 5

Reorder the terms for easier multiplication:
7 * 25goL = log(7) * 5

Multiply 7 * 25
175goL = log(7) * 5

Reorder the terms for easier multiplication:
175goL = 7 * 5glo

Multiply 7 * 5
175goL = 35glo

Solving
175goL = 35glo

Solving for variable 'g'.

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

Add '-35glo' to each side of the equation.
-35glo + 175goL = 35glo + -35glo

Combine like terms: 35glo + -35glo = 0
-35glo + 175goL = 0

Factor out the Greatest Common Factor (GCF), '35go'.
35go(-1l + 5L) = 0

Ignore the factor 35.

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1l + 5L)' equal to zero and attempt to solve: Simplifying -1l + 5L = 0 Reorder the terms: 5L + -1l = 0 Solving 5L + -1l = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -5L + -1l = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -1l = 0 + -5L -1l = 0 + -5L Remove the zero: -1l = -5L Add 'l' to each side of the equation. -1l + l = -5L + l Combine like terms: -1l + l = 0 0 = -5L + l Simplifying 0 = -5L + l 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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