log(2x+1)+log(5)=log(10)

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Solution for log(2x+1)+log(5)=log(10) equation:


Simplifying
log(2x + 1) + log(5) = log(10)

Reorder the terms:
glo(1 + 2x) + log(5) = log(10)
(1 * glo + 2x * glo) + log(5) = log(10)
(1glo + 2glox) + log(5) = log(10)

Reorder the terms for easier multiplication:
1glo + 2glox + 5glo = log(10)

Reorder the terms:
1glo + 5glo + 2glox = log(10)

Combine like terms: 1glo + 5glo = 6glo
6glo + 2glox = log(10)

Reorder the terms for easier multiplication:
6glo + 2glox = 10glo

Solving
6glo + 2glox = 10glo

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
6glo + -10glo + 2glox = 10glo + -10glo

Combine like terms: 6glo + -10glo = -4glo
-4glo + 2glox = 10glo + -10glo

Combine like terms: 10glo + -10glo = 0
-4glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2glo'.
2glo(-2 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x 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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