LOG(32+x)=LOG(92x)

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Solution for LOG(32+x)=LOG(92x) equation:


Simplifying
LOG(32 + x) = LOG(92x)
(32 * GLO + x * GLO) = LOG(92x)
(32GLO + xGLO) = LOG(92x)

Remove parenthesis around (92x)
32GLO + xGLO = GLO * 92x

Reorder the terms for easier multiplication:
32GLO + xGLO = 92GLO * x

Multiply GLO * x
32GLO + xGLO = 92xGLO

Solving
32GLO + xGLO = 92xGLO

Solving for variable 'G'.

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

Add '-92xGLO' to each side of the equation.
32GLO + xGLO + -92xGLO = 92xGLO + -92xGLO

Combine like terms: xGLO + -92xGLO = -91xGLO
32GLO + -91xGLO = 92xGLO + -92xGLO

Combine like terms: 92xGLO + -92xGLO = 0
32GLO + -91xGLO = 0

Factor out the Greatest Common Factor (GCF), 'GLO'.
GLO(32 + -91x) = 0

Subproblem 1

Set the factor 'GLO' equal to zero and attempt to solve: Simplifying GLO = 0 Solving GLO = 0 Move all terms containing G to the left, all other terms to the right. Simplifying GLO = 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 '(32 + -91x)' equal to zero and attempt to solve: Simplifying 32 + -91x = 0 Solving 32 + -91x = 0 Move all terms containing G to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -91x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -91x = 0 + -32 -91x = 0 + -32 Combine like terms: 0 + -32 = -32 -91x = -32 Add '91x' to each side of the equation. -91x + 91x = -32 + 91x Combine like terms: -91x + 91x = 0 0 = -32 + 91x Simplifying 0 = -32 + 91x 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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