g(x)=-log^2(x-3)

Simple and best practice solution for g(x)=-log^2(x-3) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for g(x)=-log^2(x-3) equation: 


Simplifying
g(x) = -1log2(x + -3)

Multiply g * x
gx = -1log2(x + -3)

Reorder the terms:
gx = -1g2lo(-3 + x)
gx = (-3 * -1g2lo + x * -1g2lo)
gx = (3g2lo + -1g2lox)

Solving
gx = 3g2lo + -1g2lox

Solving for variable 'g'.

Reorder the terms:
gx + -3g2lo + g2lox = 3g2lo + -3g2lo + -1g2lox + g2lox

Combine like terms: 3g2lo + -3g2lo = 0
gx + -3g2lo + g2lox = 0 + -1g2lox + g2lox
gx + -3g2lo + g2lox = -1g2lox + g2lox

Combine like terms: -1g2lox + g2lox = 0
gx + -3g2lo + g2lox = 0

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


Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(x + -3glo + glox)' equal to zero and attempt to solve:

Simplifying
x + -3glo + glox = 0

Reorder the terms:
-3glo + glox + x = 0

Solving
-3glo + glox + x = 0

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

Add '-1x' to each side of the equation.
-3glo + glox + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-3glo + glox + 0 = 0 + -1x
-3glo + glox = 0 + -1x
Remove the zero:
-3glo + glox = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}

See similar equations:

| 8x+1=7-20 | | 2/3(15)=10 | | -(X^2-8X-9)=0 | | 7x+9=x+11 | | 5/y-3/4 | | Y=-14x^2+84x | | 3x-32=-2 | | 3(x-4)=-24 | | log(3x+2)=2.27 | | 1/4x=19/4 | | 2x^2+2y^2-x-4y-12=0 | | 42x+18=-24+98x | | 7y^2=14y-7 | | 7b+8-2b-19= | | -2x+9=x+5 | | (x^2)-2x+2.5=0 | | 6=1-2c | | f(x)=2sin(5x) | | 5x+4y+4z-3x=2z-6y | | -2b+6=3-6b | | (a-2)(3a+1)=0 | | 5.75p= | | 5.75t= | | 4a+3b=1.6 | | 2/2x-6=?2x^2-18 | | t+p= | | -20m+29=-20 | | 5x+3=12x-4 | | 50x-40x=5 | | 50x-45=5 | | -16n+18=-14n-18 | | -s=13 |

Equations solver categories