log(3x)=log(4)+log(9)

Simple and best practice solution for log(3x)=log(4)+log(9) 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(3x)=log(4)+log(9) equation: 


Simplifying
log(3x) = log(4) + log(9)

Remove parenthesis around (3x)
glo * 3x = log(4) + log(9)

Reorder the terms for easier multiplication:
3glo * x = log(4) + log(9)

Multiply glo * x
3glox = log(4) + log(9)

Reorder the terms for easier multiplication:
3glox = 4glo + log(9)

Reorder the terms for easier multiplication:
3glox = 4glo + 9glo

Combine like terms: 4glo + 9glo = 13glo
3glox = 13glo

Solving
3glox = 13glo

Solving for variable 'g'.

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

Add '-13glo' to each side of the equation.
-13glo + 3glox = 13glo + -13glo

Combine like terms: 13glo + -13glo = 0
-13glo + 3glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-13 + 3x) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

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 '(-13 + 3x)' equal to zero and attempt to solve:

Simplifying
-13 + 3x = 0

Solving
-13 + 3x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 0 + 13
3x = 0 + 13

Combine like terms: 0 + 13 = 13
3x = 13

Add '-3x' to each side of the equation.
3x + -3x = 13 + -3x

Combine like terms: 3x + -3x = 0
0 = 13 + -3x

Simplifying
0 = 13 + -3x

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:

| 12+-36=-27-6+63 | | -2n-2/3 | | 1.3x=5.4+x | | 4x-4=2x+30 | | (x+7)(x^2+5-9)= | | -2x^2+18=8 | | -(3/8)x=24 | | 14/x=4,50 | | 4x/5-32/5=(-6x+2)+.4 | | 4x^4+81=0 | | 9y-1=18-4y | | 14/x=4,70 | | 5*2.2x=25 | | 19=-2+9 | | 9=8-0.2x | | 12-3a= | | 16x^2+16y^2-16x-8y+1=0 | | 5c=c+4c | | 3x+9=3(x+7) | | 3x+50=104 | | -6x/5+(-15/5)=-3 | | 6x+14=8x+18 | | 9(x-5)+3=-42 | | 0=x^2+26x+48 | | 3x+26=6x+38 | | 3x*4x=108 | | 2+20=-62+9t | | (x+1)(x+8)=8x | | 8x^2/72*5y^2/3x | | 3x-1/4x/2-1 | | 6+(3j-2)=4(1+j) | | 4n-19=-28+5n |

Equations solver categories