log(8)4=1-log(8)(x-7)

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Solution for log(8)4=1-log(8)(x-7) equation:


Simplifying
log(8) * 4 = 1 + -1log(8)(x + -7)

Reorder the terms for easier multiplication:
8 * 4glo = 1 + -1log(8)(x + -7)

Multiply 8 * 4
32glo = 1 + -1log(8)(x + -7)

Reorder the terms:
32glo = 1 + -1glo * 8(-7 + x)

Reorder the terms for easier multiplication:
32glo = 1 + -1 * 8glo(-7 + x)

Multiply -1 * 8
32glo = 1 + -8glo(-7 + x)
32glo = 1 + (-7 * -8glo + x * -8glo)
32glo = 1 + (56glo + -8glox)

Solving
32glo = 1 + 56glo + -8glox

Solving for variable 'g'.

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

Add '-56glo' to each side of the equation.
32glo + -56glo = 1 + 56glo + -56glo + -8glox

Combine like terms: 32glo + -56glo = -24glo
-24glo = 1 + 56glo + -56glo + -8glox

Combine like terms: 56glo + -56glo = 0
-24glo = 1 + 0 + -8glox
-24glo = 1 + -8glox

Add '8glox' to each side of the equation.
-24glo + 8glox = 1 + -8glox + 8glox

Combine like terms: -8glox + 8glox = 0
-24glo + 8glox = 1 + 0
-24glo + 8glox = 1

Reorder the terms:
-1 + -24glo + 8glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -24glo + 8glox = 0

The solution to this equation could not be determined.

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