774=215*log(14x+7)

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Solution for 774=215*log(14x+7) equation:


Simplifying
774 = 215log(14x + 7)

Reorder the terms:
774 = 215glo(7 + 14x)
774 = (7 * 215glo + 14x * 215glo)
774 = (1505glo + 3010glox)

Solving
774 = 1505glo + 3010glox

Solving for variable 'g'.

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

Add '-1505glo' to each side of the equation.
774 + -1505glo = 1505glo + -1505glo + 3010glox

Combine like terms: 1505glo + -1505glo = 0
774 + -1505glo = 0 + 3010glox
774 + -1505glo = 3010glox

Add '-3010glox' to each side of the equation.
774 + -1505glo + -3010glox = 3010glox + -3010glox

Combine like terms: 3010glox + -3010glox = 0
774 + -1505glo + -3010glox = 0

Add '-774' to each side of the equation.
774 + -1505glo + -774 + -3010glox = 0 + -774

Reorder the terms:
774 + -774 + -1505glo + -3010glox = 0 + -774

Combine like terms: 774 + -774 = 0
0 + -1505glo + -3010glox = 0 + -774
-1505glo + -3010glox = 0 + -774

Combine like terms: 0 + -774 = -774
-1505glo + -3010glox = -774

Reorder the terms:
774 + -1505glo + -3010glox = -774 + 774

Combine like terms: -774 + 774 = 0
774 + -1505glo + -3010glox = 0

Factor out the Greatest Common Factor (GCF), '43'.
43(18 + -35glo + -70glox) = 0

Ignore the factor 43.

Subproblem 1

Set the factor '(18 + -35glo + -70glox)' equal to zero and attempt to solve: Simplifying 18 + -35glo + -70glox = 0 Solving 18 + -35glo + -70glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -35glo + -18 + -70glox = 0 + -18 Reorder the terms: 18 + -18 + -35glo + -70glox = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -35glo + -70glox = 0 + -18 -35glo + -70glox = 0 + -18 Combine like terms: 0 + -18 = -18 -35glo + -70glox = -18 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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