Log(v^2+60)=log(16v-3)

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Solution for Log(v^2+60)=log(16v-3) equation:


Simplifying
Log(v2 + 60) = log(16v + -3)

Reorder the terms:
goL(60 + v2) = log(16v + -3)
(60 * goL + v2 * goL) = log(16v + -3)
(60goL + gov2L) = log(16v + -3)

Reorder the terms:
60goL + gov2L = glo(-3 + 16v)
60goL + gov2L = (-3 * glo + 16v * glo)
60goL + gov2L = (-3glo + 16glov)

Solving
60goL + gov2L = -3glo + 16glov

Solving for variable 'g'.

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

Add '3glo' to each side of the equation.
60goL + 3glo + gov2L = -3glo + 3glo + 16glov

Reorder the terms:
3glo + 60goL + gov2L = -3glo + 3glo + 16glov

Combine like terms: -3glo + 3glo = 0
3glo + 60goL + gov2L = 0 + 16glov
3glo + 60goL + gov2L = 16glov

Add '-16glov' to each side of the equation.
3glo + 60goL + -16glov + gov2L = 16glov + -16glov

Reorder the terms:
3glo + -16glov + 60goL + gov2L = 16glov + -16glov

Combine like terms: 16glov + -16glov = 0
3glo + -16glov + 60goL + gov2L = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(3l + -16lv + 60L + v2L) = 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 '(3l + -16lv + 60L + v2L)' equal to zero and attempt to solve: Simplifying 3l + -16lv + 60L + v2L = 0 Reorder the terms: 60L + 3l + -16lv + v2L = 0 Solving 60L + 3l + -16lv + v2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-60L' to each side of the equation. 60L + 3l + -16lv + -60L + v2L = 0 + -60L Reorder the terms: 60L + -60L + 3l + -16lv + v2L = 0 + -60L Combine like terms: 60L + -60L = 0 0 + 3l + -16lv + v2L = 0 + -60L 3l + -16lv + v2L = 0 + -60L Remove the zero: 3l + -16lv + v2L = -60L Add '-3l' to each side of the equation. 3l + -16lv + -3l + v2L = -60L + -3l Reorder the terms: 3l + -3l + -16lv + v2L = -60L + -3l Combine like terms: 3l + -3l = 0 0 + -16lv + v2L = -60L + -3l -16lv + v2L = -60L + -3l Add '16lv' to each side of the equation. -16lv + 16lv + v2L = -60L + -3l + 16lv Combine like terms: -16lv + 16lv = 0 0 + v2L = -60L + -3l + 16lv v2L = -60L + -3l + 16lv Add '-1v2L' to each side of the equation. v2L + -1v2L = -60L + -3l + 16lv + -1v2L Combine like terms: v2L + -1v2L = 0 0 = -60L + -3l + 16lv + -1v2L Simplifying 0 = -60L + -3l + 16lv + -1v2L 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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