log[7](4)-log[7](3X)=log[7](40)

Simple and best practice solution for log[7](4)-log[7](3X)=log[7](40) 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[7](4)-log[7](3X)=log[7](40) equation:


Simplifying
log[7](4) + -1log[7](3X) = log[7](40)

Reorder the terms for easier multiplication:
7 * 4glo + -1log[7](3X) = log[7](40)

Multiply 7 * 4
28glo + -1log[7](3X) = log[7](40)

Remove parenthesis around (3X)
28glo + -1glo * 7 * 3X = log[7](40)

Reorder the terms for easier multiplication:
28glo + -1 * 7 * 3glo * X = log[7](40)

Multiply -1 * 7
28glo + -7 * 3glo * X = log[7](40)

Multiply -7 * 3
28glo + -21glo * X = log[7](40)

Multiply glo * X
28glo + -21gloX = log[7](40)

Reorder the terms for easier multiplication:
28glo + -21gloX = 7 * 40glo

Multiply 7 * 40
28glo + -21gloX = 280glo

Solving
28glo + -21gloX = 280glo

Solving for variable 'g'.

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

Add '-280glo' to each side of the equation.
28glo + -280glo + -21gloX = 280glo + -280glo

Combine like terms: 28glo + -280glo = -252glo
-252glo + -21gloX = 280glo + -280glo

Combine like terms: 280glo + -280glo = 0
-252glo + -21gloX = 0

Factor out the Greatest Common Factor (GCF), '-21glo'.
-21glo(12 + X) = 0

Ignore the factor -21.

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 '(12 + X)' equal to zero and attempt to solve: Simplifying 12 + X = 0 Solving 12 + X = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + X = 0 + -12 X = 0 + -12 Combine like terms: 0 + -12 = -12 X = -12 Add '-1X' to each side of the equation. X + -1X = -12 + -1X Combine like terms: X + -1X = 0 0 = -12 + -1X Simplifying 0 = -12 + -1X 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+z-2=10 | | 11x-1=4x+11 | | 3x-(-x)=3x+11 | | -8(n-6)=88 | | Log21/8 | | -6(a+6)-1=-85 | | 5/6[x-1/3]=5/12 | | -6(5+4b)=-126 | | log[5](5X)-log[5](6)=2 | | 3x-1=9+2x | | Y=1x^2+2x+3 | | 3v=2 | | -4(j-6)=48 | | -6(7n+5)+2n=-310 | | x^3+11x^2+31x+5=0 | | y-30+8g-3+25=72 | | 5x-5=20x-3 | | log[9]25=2log[9]x | | Y=-3/5•(1)-3 | | -1+2(-5+7k)=-109 | | 7n/9-62=5n-48 | | -99=-3(-4n+5) | | 7[x+4.9]=56 | | 3(7x+7)=105 | | -9[x-4]=81 | | 8(w-1)=6w-12 | | 3a+5-3a=4 | | 37k^2+32k=0 | | 14x^2-49x-28=0 | | -88=8(n-5)+4n | | 2sqrt(39)/4=0 | | 5v/3-2v/3=2/3 |

Equations solver categories