Log(9)2+log(9)7=log(9)x

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Solution for Log(9)2+log(9)7=log(9)x equation:


Simplifying
Log(9) * 2 + log(9) * 7 = log(9) * x

Reorder the terms for easier multiplication:
9 * 2goL + log(9) * 7 = log(9) * x

Multiply 9 * 2
18goL + log(9) * 7 = log(9) * x

Reorder the terms for easier multiplication:
18goL + 9 * 7glo = log(9) * x

Multiply 9 * 7
18goL + 63glo = log(9) * x

Reorder the terms:
63glo + 18goL = log(9) * x

Reorder the terms for easier multiplication:
63glo + 18goL = 9glo * x

Multiply glo * x
63glo + 18goL = 9glox

Solving
63glo + 18goL = 9glox

Solving for variable 'g'.

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

Add '-9glox' to each side of the equation.
63glo + -9glox + 18goL = 9glox + -9glox

Combine like terms: 9glox + -9glox = 0
63glo + -9glox + 18goL = 0

Factor out the Greatest Common Factor (GCF), '9go'.
9go(7l + -1lx + 2L) = 0

Ignore the factor 9.

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 '(7l + -1lx + 2L)' equal to zero and attempt to solve: Simplifying 7l + -1lx + 2L = 0 Reorder the terms: 2L + 7l + -1lx = 0 Solving 2L + 7l + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + 7l + -2L + -1lx = 0 + -2L Reorder the terms: 2L + -2L + 7l + -1lx = 0 + -2L Combine like terms: 2L + -2L = 0 0 + 7l + -1lx = 0 + -2L 7l + -1lx = 0 + -2L Remove the zero: 7l + -1lx = -2L Add '-7l' to each side of the equation. 7l + -7l + -1lx = -2L + -7l Combine like terms: 7l + -7l = 0 0 + -1lx = -2L + -7l -1lx = -2L + -7l Add 'lx' to each side of the equation. -1lx + lx = -2L + -7l + lx Combine like terms: -1lx + lx = 0 0 = -2L + -7l + lx Simplifying 0 = -2L + -7l + 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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