2*log[4](x+3)=12

Simple and best practice solution for 2*log[4](x+3)=12 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 2*log[4](x+3)=12 equation:


Simplifying
2log[4](x + 3) = 12

Reorder the terms:
2glo * 4(3 + x) = 12

Reorder the terms for easier multiplication:
2 * 4glo(3 + x) = 12

Multiply 2 * 4
8glo(3 + x) = 12
(3 * 8glo + x * 8glo) = 12
(24glo + 8glox) = 12

Solving
24glo + 8glox = 12

Solving for variable 'g'.

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

Reorder the terms:
-12 + 24glo + 8glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 24glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 6glo + 2glox) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + 6glo + 2glox)' equal to zero and attempt to solve: Simplifying -3 + 6glo + 2glox = 0 Solving -3 + 6glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6glo + 3 + 2glox = 0 + 3 Reorder the terms: -3 + 3 + 6glo + 2glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6glo + 2glox = 0 + 3 6glo + 2glox = 0 + 3 Combine like terms: 0 + 3 = 3 6glo + 2glox = 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.

See similar equations:

| 3(5a+6)=10 | | -56=-4(-6+b) | | 4z+7+2z=5-2 | | 1-2m=-11 | | -40=-2+2k | | f(5)=2x+5 | | 7n-12=65 | | 50r-6=82-70 | | -4=m/2-6 | | b^2+36=-12b | | 2x+24=21 | | 5x+5x+3+9=6x+4+3x | | -13=f/4-15 | | 9n-2=151 | | -18=-6x-4(x+22) | | 2x+39=4(x+5) | | r^3+2r^2+5r+26=0 | | 14-x=(-28) | | 5=8-3n | | -7/3=-1/7v-3/2 | | 13x+15=8x-25 | | 57.95x=50.45x+60 | | 11-7y=5(1-y) | | 3/4n-18=1/4-n | | 6x-5(6-x)=36 | | 2m+24=0 | | -3/2x-2=4/3x-7/6 | | 4y+5x=2y-3+16 | | (3x)=(7x-48) | | -8x-9y=15 | | 5x=7x+26+2x-12x | | y=3.8x+120 |

Equations solver categories