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Simplifying Log(7) * 25 = 2log(7) Reorder the terms for easier multiplication: 7 * 25goL = 2log(7) Multiply 7 * 25 175goL = 2log(7) Reorder the terms for easier multiplication: 175goL = 2 * 7glo Multiply 2 * 7 175goL = 14glo Solving 175goL = 14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. -14glo + 175goL = 14glo + -14glo Combine like terms: 14glo + -14glo = 0 -14glo + 175goL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-2l + 25L) = 0 Ignore the factor 7.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 '(-2l + 25L)' equal to zero and attempt to solve: Simplifying -2l + 25L = 0 Reorder the terms: 25L + -2l = 0 Solving 25L + -2l = 0 Move all terms containing g to the left, all other terms to the right. Add '-25L' to each side of the equation. 25L + -25L + -2l = 0 + -25L Combine like terms: 25L + -25L = 0 0 + -2l = 0 + -25L -2l = 0 + -25L Remove the zero: -2l = -25L Add '2l' to each side of the equation. -2l + 2l = -25L + 2l Combine like terms: -2l + 2l = 0 0 = -25L + 2l Simplifying 0 = -25L + 2l 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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