5log(x-1)=15

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Solution for 5log(x-1)=15 equation:


Simplifying
5log(x + -1) = 15

Reorder the terms:
5glo(-1 + x) = 15
(-1 * 5glo + x * 5glo) = 15
(-5glo + 5glox) = 15

Solving
-5glo + 5glox = 15

Solving for variable 'g'.

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

Reorder the terms:
-15 + -5glo + 5glox = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -5glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + -1glo + glox) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-3 + -1glo + glox)' equal to zero and attempt to solve: Simplifying -3 + -1glo + glox = 0 Solving -3 + -1glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1glo + 3 + glox = 0 + 3 Reorder the terms: -3 + 3 + -1glo + glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1glo + glox = 0 + 3 -1glo + glox = 0 + 3 Combine like terms: 0 + 3 = 3 -1glo + glox = 3 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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