Log(2)(9-2x)+log(2)x=2

Simple and best practice solution for Log(2)(9-2x)+log(2)x=2 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 Log(2)(9-2x)+log(2)x=2 equation: 


Simplifying
Log(2)(9 + -2x) + log(2) * x = 2

Reorder the terms for easier multiplication:
2goL(9 + -2x) + log(2) * x = 2
(9 * 2goL + -2x * 2goL) + log(2) * x = 2
(18goL + -4goxL) + log(2) * x = 2

Reorder the terms for easier multiplication:
18goL + -4goxL + 2glo * x = 2

Multiply glo * x
18goL + -4goxL + 2glox = 2

Reorder the terms:
2glox + 18goL + -4goxL = 2

Solving
2glox + 18goL + -4goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 2glox + 18goL + -4goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 2glox + 18goL + -4goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + glox + 9goL + -2goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + glox + 9goL + -2goxL)' equal to zero and attempt to solve:

Simplifying
-1 + glox + 9goL + -2goxL = 0

Solving
-1 + glox + 9goL + -2goxL = 0

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

Add '1' to each side of the equation.
-1 + glox + 9goL + 1 + -2goxL = 0 + 1

Reorder the terms:
-1 + 1 + glox + 9goL + -2goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + glox + 9goL + -2goxL = 0 + 1
glox + 9goL + -2goxL = 0 + 1

Combine like terms: 0 + 1 = 1
glox + 9goL + -2goxL = 1

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:

| x^2-mx+2m-3=0 | | w/3-2=5 | | 3x/4-cos3x/2 | | 8g-5g+-6=-18 | | -18+d=2d | | 2x+1y-8=0 | | 13c-7c-5=13 | | 4q-11q+10=17 | | 4/5p=240 | | 1/(3x)-2x-4 | | 1/3x-2x-4 | | 1k-101=3 | | X+X^2=2.69 | | 20-8f=-3f-20 | | x-4=-4x-4 | | X^2-2015x=200 | | Log(x^2-2015x-100)=2 | | -2x+5=6x-7 | | 121x^2-44x=275x-100 | | y=3t-2 | | X^2-2015x=0 | | 6(x+6)=3(x+18) | | 2(x-5)=54-6x | | (5x+3)2=4(2x-3)2 | | 5(x-2)=25-2x | | 10x+25(30-x)=420 | | x+8=7x+14 | | 8(r+5)-9(r+3)=5 | | 2x-2=58-10x | | 8x+5=5x+32 | | 5x+10(21-x)=165 | | -6(j+8)=-4j-48 |

Equations solver categories