Log(2f+4)=log(14-3f)

Simple and best practice solution for Log(2f+4)=log(14-3f) 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(2f+4)=log(14-3f) equation: 


Simplifying
Log(2f + 4) = log(14 + -3f)

Reorder the terms:
goL(4 + 2f) = log(14 + -3f)
(4 * goL + 2f * goL) = log(14 + -3f)

Reorder the terms:
(2fgoL + 4goL) = log(14 + -3f)
(2fgoL + 4goL) = log(14 + -3f)
2fgoL + 4goL = (14 * glo + -3f * glo)

Reorder the terms:
2fgoL + 4goL = (-3fglo + 14glo)
2fgoL + 4goL = (-3fglo + 14glo)

Solving
2fgoL + 4goL = -3fglo + 14glo

Solving for variable 'f'.

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

Add '3fglo' to each side of the equation.
2fgoL + 3fglo + 4goL = -3fglo + 3fglo + 14glo

Reorder the terms:
3fglo + 2fgoL + 4goL = -3fglo + 3fglo + 14glo

Combine like terms: -3fglo + 3fglo = 0
3fglo + 2fgoL + 4goL = 0 + 14glo
3fglo + 2fgoL + 4goL = 14glo

Add '-4goL' to each side of the equation.
3fglo + 2fgoL + 4goL + -4goL = 14glo + -4goL

Combine like terms: 4goL + -4goL = 0
3fglo + 2fgoL + 0 = 14glo + -4goL
3fglo + 2fgoL = 14glo + -4goL

Reorder the terms:
3fglo + 2fgoL + -14glo + 4goL = 14glo + -14glo + -4goL + 4goL

Combine like terms: 14glo + -14glo = 0
3fglo + 2fgoL + -14glo + 4goL = 0 + -4goL + 4goL
3fglo + 2fgoL + -14glo + 4goL = -4goL + 4goL

Combine like terms: -4goL + 4goL = 0
3fglo + 2fgoL + -14glo + 4goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(3fl + 2fL + -14l + 4L) = 0


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

Simplifying
go = 0

Solving
go = 0

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

Add '-1go' to each side of the equation.
go + -1go = 0 + -1go
Remove the zero:
0 = -1go

Simplifying
0 = -1go

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3fl + 2fL + -14l + 4L)' equal to zero and attempt to solve:

Simplifying
3fl + 2fL + -14l + 4L = 0

Reorder the terms:
4L + 2fL + 3fl + -14l = 0

Solving
4L + 2fL + 3fl + -14l = 0

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

Add '-4L' to each side of the equation.
4L + 2fL + 3fl + -4L + -14l = 0 + -4L

Reorder the terms:
4L + -4L + 2fL + 3fl + -14l = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + 2fL + 3fl + -14l = 0 + -4L
2fL + 3fl + -14l = 0 + -4L
Remove the zero:
2fL + 3fl + -14l = -4L

Add '14l' to each side of the equation.
2fL + 3fl + -14l + 14l = -4L + 14l

Combine like terms: -14l + 14l = 0
2fL + 3fl + 0 = -4L + 14l
2fL + 3fl = -4L + 14l

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:

| (q-3)*5=20 | | C/10-3=23 | | 88=4w+8 | | x^5+3x=100 | | -4y^2+24y-15=0 | | 5(m-3)+2(7-2m)=9 | | x+18=7(n+3) | | 8x+2=5x+4 | | (5-x)(4x-1)=0 | | x^2-10x-4y^2+24y-15=0 | | -7(-6y-u+5)= | | 5(z-4)+5z-3= | | -u+4=-10h+49 | | 8x^2-4x=12 | | 3x-8y=-44 | | 3(y+5)-y=25 | | 6(z-2)+4z-1= | | 3(y+5)-y=15 | | 2(4x-5)=2x+10 | | -4x+2x=-8x+16x | | 24x=-6x^2-24 | | 3x+7+2x=27 | | n^2-7n=-6 | | 110n+9=89 | | (s+2)(s+4)(s+6)=0 | | lnx=2+ln(x-1) | | x+96=x-96 | | 5(x-4)+2x=14 | | 5+4x=-1+x | | (3v-2)-(6v^2-1v-2)= | | .65/(.18-x)=45 | | 2x+27=9x-47 |

Equations solver categories