Log(c+4)(17x-4)=2

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Solution for Log(c+4)(17x-4)=2 equation:


Simplifying
Log(c + 4)(17x + -4) = 2

Reorder the terms:
goL(4 + c)(17x + -4) = 2

Reorder the terms:
goL(4 + c)(-4 + 17x) = 2

Multiply (4 + c) * (-4 + 17x)
goL(4(-4 + 17x) + c(-4 + 17x)) = 2
goL((-4 * 4 + 17x * 4) + c(-4 + 17x)) = 2
goL((-16 + 68x) + c(-4 + 17x)) = 2
goL(-16 + 68x + (-4 * c + 17x * c)) = 2
goL(-16 + 68x + (-4c + 17cx)) = 2

Reorder the terms:
goL(-16 + -4c + 17cx + 68x) = 2
goL(-16 + -4c + 17cx + 68x) = 2
(-16 * goL + -4c * goL + 17cx * goL + 68x * goL) = 2

Reorder the terms:
(-4cgoL + 17cgoxL + -16goL + 68goxL) = 2
(-4cgoL + 17cgoxL + -16goL + 68goxL) = 2

Solving
-4cgoL + 17cgoxL + -16goL + 68goxL = 2

Solving for variable 'c'.

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

Add '16goL' to each side of the equation.
-4cgoL + 17cgoxL + -16goL + 16goL + 68goxL = 2 + 16goL

Combine like terms: -16goL + 16goL = 0
-4cgoL + 17cgoxL + 0 + 68goxL = 2 + 16goL
-4cgoL + 17cgoxL + 68goxL = 2 + 16goL

Add '-68goxL' to each side of the equation.
-4cgoL + 17cgoxL + 68goxL + -68goxL = 2 + 16goL + -68goxL

Combine like terms: 68goxL + -68goxL = 0
-4cgoL + 17cgoxL + 0 = 2 + 16goL + -68goxL
-4cgoL + 17cgoxL = 2 + 16goL + -68goxL

Reorder the terms:
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 2 + 16goL + -68goxL + -2 + -16goL + 68goxL

Reorder the terms:
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 2 + -2 + 16goL + -16goL + -68goxL + 68goxL

Combine like terms: 2 + -2 = 0
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 0 + 16goL + -16goL + -68goxL + 68goxL
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 16goL + -16goL + -68goxL + 68goxL

Combine like terms: 16goL + -16goL = 0
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 0 + -68goxL + 68goxL
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = -68goxL + 68goxL

Combine like terms: -68goxL + 68goxL = 0
-2 + -4cgoL + 17cgoxL + -16goL + 68goxL = 0

The solution to this equation could not be determined.

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