log^7*(8t+15)-log^7*(t)=log^7*(9)

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Solution for log^7*(8t+15)-log^7*(t)=log^7*(9) equation:


Simplifying
log7(8t + 15) + -1log7(t) = log7(9)

Reorder the terms:
g7lo(15 + 8t) + -1log7(t) = log7(9)
(15 * g7lo + 8t * g7lo) + -1log7(t) = log7(9)
(15g7lo + 8g7lot) + -1log7(t) = log7(9)

Multiply g7lo * t
15g7lo + 8g7lot + -1g7lot = log7(9)

Combine like terms: 8g7lot + -1g7lot = 7g7lot
15g7lo + 7g7lot = log7(9)

Reorder the terms for easier multiplication:
15g7lo + 7g7lot = 9g7lo

Solving
15g7lo + 7g7lot = 9g7lo

Solving for variable 'g'.

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

Add '-9g7lo' to each side of the equation.
15g7lo + -9g7lo + 7g7lot = 9g7lo + -9g7lo

Combine like terms: 15g7lo + -9g7lo = 6g7lo
6g7lo + 7g7lot = 9g7lo + -9g7lo

Combine like terms: 9g7lo + -9g7lo = 0
6g7lo + 7g7lot = 0

Factor out the Greatest Common Factor (GCF), 'g7lo'.
g7lo(6 + 7t) = 0

Subproblem 1

Set the factor 'g7lo' equal to zero and attempt to solve: Simplifying g7lo = 0 Solving g7lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g7lo = 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 '(6 + 7t)' equal to zero and attempt to solve: Simplifying 6 + 7t = 0 Solving 6 + 7t = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7t = 0 + -6 7t = 0 + -6 Combine like terms: 0 + -6 = -6 7t = -6 Add '-7t' to each side of the equation. 7t + -7t = -6 + -7t Combine like terms: 7t + -7t = 0 0 = -6 + -7t Simplifying 0 = -6 + -7t 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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