Log[7](x)=log[7](x)

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


Simplifying
Log[7](x) = log[7](x)

Reorder the terms for easier multiplication:
7goL * x = log[7](x)

Multiply goL * x
7goxL = log[7](x)

Reorder the terms for easier multiplication:
7goxL = 7glo * x

Multiply glo * x
7goxL = 7glox

Solving
7goxL = 7glox

Solving for variable 'g'.

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

Add '-7glox' to each side of the equation.
-7glox + 7goxL = 7glox + -7glox

Combine like terms: 7glox + -7glox = 0
-7glox + 7goxL = 0

Factor out the Greatest Common Factor (GCF), '7gox'.
7gox(-1l + L) = 0

Ignore the factor 7.

Subproblem 1

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