Iflog(7)(x-7)+log(7)(x^2+7*x+49)=4

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Solution for Iflog(7)(x-7)+log(7)(x^2+7*x+49)=4 equation:


Simplifying
Iflog(7)(x + -7) + log(7)(x2 + 7x + 49) = 4

Reorder the terms:
fgloI * 7(-7 + x) + log(7)(x2 + 7x + 49) = 4

Reorder the terms for easier multiplication:
7fgloI(-7 + x) + log(7)(x2 + 7x + 49) = 4
(-7 * 7fgloI + x * 7fgloI) + log(7)(x2 + 7x + 49) = 4
(-49fgloI + 7fgloxI) + log(7)(x2 + 7x + 49) = 4

Reorder the terms:
-49fgloI + 7fgloxI + glo * 7(49 + 7x + x2) = 4

Reorder the terms for easier multiplication:
-49fgloI + 7fgloxI + 7glo(49 + 7x + x2) = 4
-49fgloI + 7fgloxI + (49 * 7glo + 7x * 7glo + x2 * 7glo) = 4
-49fgloI + 7fgloxI + (343glo + 49glox + 7glox2) = 4

Solving
-49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 4

Solving for variable 'f'.

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

Add '-343glo' to each side of the equation.
-49fgloI + 7fgloxI + 343glo + 49glox + -343glo + 7glox2 = 4 + -343glo

Reorder the terms:
-49fgloI + 7fgloxI + 343glo + -343glo + 49glox + 7glox2 = 4 + -343glo

Combine like terms: 343glo + -343glo = 0
-49fgloI + 7fgloxI + 0 + 49glox + 7glox2 = 4 + -343glo
-49fgloI + 7fgloxI + 49glox + 7glox2 = 4 + -343glo

Add '-49glox' to each side of the equation.
-49fgloI + 7fgloxI + 49glox + -49glox + 7glox2 = 4 + -343glo + -49glox

Combine like terms: 49glox + -49glox = 0
-49fgloI + 7fgloxI + 0 + 7glox2 = 4 + -343glo + -49glox
-49fgloI + 7fgloxI + 7glox2 = 4 + -343glo + -49glox

Add '-7glox2' to each side of the equation.
-49fgloI + 7fgloxI + 7glox2 + -7glox2 = 4 + -343glo + -49glox + -7glox2

Combine like terms: 7glox2 + -7glox2 = 0
-49fgloI + 7fgloxI + 0 = 4 + -343glo + -49glox + -7glox2
-49fgloI + 7fgloxI = 4 + -343glo + -49glox + -7glox2

Reorder the terms:
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 4 + -343glo + -49glox + -7glox2 + -4 + 343glo + 49glox + 7glox2

Reorder the terms:
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 4 + -4 + -343glo + 343glo + -49glox + 49glox + -7glox2 + 7glox2

Combine like terms: 4 + -4 = 0
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 0 + -343glo + 343glo + -49glox + 49glox + -7glox2 + 7glox2
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = -343glo + 343glo + -49glox + 49glox + -7glox2 + 7glox2

Combine like terms: -343glo + 343glo = 0
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 0 + -49glox + 49glox + -7glox2 + 7glox2
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = -49glox + 49glox + -7glox2 + 7glox2

Combine like terms: -49glox + 49glox = 0
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 0 + -7glox2 + 7glox2
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = -7glox2 + 7glox2

Combine like terms: -7glox2 + 7glox2 = 0
-4 + -49fgloI + 7fgloxI + 343glo + 49glox + 7glox2 = 0

The solution to this equation could not be determined.

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