Log(2)(6x+5)=4

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Solution for Log(2)(6x+5)=4 equation:


Simplifying
Log(2)(6x + 5) = 4

Reorder the terms:
goL * 2(5 + 6x) = 4

Reorder the terms for easier multiplication:
2goL(5 + 6x) = 4
(5 * 2goL + 6x * 2goL) = 4
(10goL + 12goxL) = 4

Solving
10goL + 12goxL = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 10goL + 12goxL = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 10goL + 12goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 5goL + 6goxL) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 5goL + 6goxL)' equal to zero and attempt to solve: Simplifying -2 + 5goL + 6goxL = 0 Solving -2 + 5goL + 6goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5goL + 2 + 6goxL = 0 + 2 Reorder the terms: -2 + 2 + 5goL + 6goxL = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5goL + 6goxL = 0 + 2 5goL + 6goxL = 0 + 2 Combine like terms: 0 + 2 = 2 5goL + 6goxL = 2 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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