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Simplifying log[5](64) + -1log[5] + log[5](2) = log[5](4p) Reorder the terms for easier multiplication: 5 * 64glo + -1log[5] + log[5](2) = log[5](4p) Multiply 5 * 64 320glo + -1log[5] + log[5](2) = log[5](4p) Reorder the terms for easier multiplication: 320glo + -1 * 5glo + log[5](2) = log[5](4p) Multiply -1 * 5 320glo + -5glo + log[5](2) = log[5](4p) Reorder the terms for easier multiplication: 320glo + -5glo + 5 * 2glo = log[5](4p) Multiply 5 * 2 320glo + -5glo + 10glo = log[5](4p) Combine like terms: 320glo + -5glo = 315glo 315glo + 10glo = log[5](4p) Combine like terms: 315glo + 10glo = 325glo 325glo = log[5](4p) Remove parenthesis around (4p) 325glo = glo * 5 * 4p Reorder the terms for easier multiplication: 325glo = 5 * 4glo * p Multiply 5 * 4 325glo = 20glo * p Multiply glo * p 325glo = 20glop Solving 325glo = 20glop Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20glop' to each side of the equation. 325glo + -20glop = 20glop + -20glop Combine like terms: 20glop + -20glop = 0 325glo + -20glop = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(65 + -4p) = 0 Ignore the factor 5.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 '(65 + -4p)' equal to zero and attempt to solve: Simplifying 65 + -4p = 0 Solving 65 + -4p = 0 Move all terms containing g to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -4p = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -4p = 0 + -65 -4p = 0 + -65 Combine like terms: 0 + -65 = -65 -4p = -65 Add '4p' to each side of the equation. -4p + 4p = -65 + 4p Combine like terms: -4p + 4p = 0 0 = -65 + 4p Simplifying 0 = -65 + 4p 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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