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Simplifying log5(6) + log5(2x2) = log5(48) Reorder the terms for easier multiplication: 6g5lo + log5(2x2) = log5(48) Remove parenthesis around (2x2) 6g5lo + g5lo * 2x2 = log5(48) Reorder the terms for easier multiplication: 6g5lo + 2g5lo * x2 = log5(48) Multiply g5lo * x2 6g5lo + 2g5lox2 = log5(48) Reorder the terms for easier multiplication: 6g5lo + 2g5lox2 = 48g5lo Solving 6g5lo + 2g5lox2 = 48g5lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48g5lo' to each side of the equation. 6g5lo + -48g5lo + 2g5lox2 = 48g5lo + -48g5lo Combine like terms: 6g5lo + -48g5lo = -42g5lo -42g5lo + 2g5lox2 = 48g5lo + -48g5lo Combine like terms: 48g5lo + -48g5lo = 0 -42g5lo + 2g5lox2 = 0 Factor out the Greatest Common Factor (GCF), '2g5lo'. 2g5lo(-21 + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'g5lo' equal to zero and attempt to solve: Simplifying g5lo = 0 Solving g5lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g5lo = 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 '(-21 + x2)' equal to zero and attempt to solve: Simplifying -21 + x2 = 0 Solving -21 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x2 = 0 + 21 x2 = 0 + 21 Combine like terms: 0 + 21 = 21 x2 = 21 Add '-1x2' to each side of the equation. x2 + -1x2 = 21 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 21 + -1x2 Simplifying 0 = 21 + -1x2 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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