Log(66)=log(11)+log(x)

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Solution for Log(66)=log(11)+log(x) equation:


Simplifying
Log(66) = log(11) + log(x)

Reorder the terms for easier multiplication:
66goL = log(11) + log(x)

Reorder the terms for easier multiplication:
66goL = 11glo + log(x)

Multiply glo * x
66goL = 11glo + glox

Solving
66goL = 11glo + glox

Solving for variable 'g'.

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

Add '-11glo' to each side of the equation.
-11glo + 66goL = 11glo + -11glo + glox

Combine like terms: 11glo + -11glo = 0
-11glo + 66goL = 0 + glox
-11glo + 66goL = glox

Add '-1glox' to each side of the equation.
-11glo + -1glox + 66goL = glox + -1glox

Combine like terms: glox + -1glox = 0
-11glo + -1glox + 66goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-11l + -1lx + 66L) = 0

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 '(-11l + -1lx + 66L)' equal to zero and attempt to solve: Simplifying -11l + -1lx + 66L = 0 Reorder the terms: 66L + -11l + -1lx = 0 Solving 66L + -11l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-66L' to each side of the equation. 66L + -11l + -66L + -1lx = 0 + -66L Reorder the terms: 66L + -66L + -11l + -1lx = 0 + -66L Combine like terms: 66L + -66L = 0 0 + -11l + -1lx = 0 + -66L -11l + -1lx = 0 + -66L Remove the zero: -11l + -1lx = -66L Add '11l' to each side of the equation. -11l + 11l + -1lx = -66L + 11l Combine like terms: -11l + 11l = 0 0 + -1lx = -66L + 11l -1lx = -66L + 11l Add 'lx' to each side of the equation. -1lx + lx = -66L + 11l + lx Combine like terms: -1lx + lx = 0 0 = -66L + 11l + lx Simplifying 0 = -66L + 11l + lx 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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