log(7)(x)=log(7)(10)-log(7)(5)

Simple and best practice solution for log(7)(x)=log(7)(10)-log(7)(5) 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)(x)=log(7)(10)-log(7)(5) equation:


Simplifying
log(7)(x) = log(7)(10) + -1log(7)(5)

Reorder the terms for easier multiplication:
7glo * x = log(7)(10) + -1log(7)(5)

Multiply glo * x
7glox = log(7)(10) + -1log(7)(5)

Reorder the terms for easier multiplication:
7glox = 7 * 10glo + -1log(7)(5)

Multiply 7 * 10
7glox = 70glo + -1log(7)(5)

Reorder the terms for easier multiplication:
7glox = 70glo + -1 * 7 * 5glo

Multiply -1 * 7
7glox = 70glo + -7 * 5glo

Multiply -7 * 5
7glox = 70glo + -35glo

Combine like terms: 70glo + -35glo = 35glo
7glox = 35glo

Solving
7glox = 35glo

Solving for variable 'g'.

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

Add '-35glo' to each side of the equation.
-35glo + 7glox = 35glo + -35glo

Combine like terms: 35glo + -35glo = 0
-35glo + 7glox = 0

Factor out the Greatest Common Factor (GCF), '7glo'.
7glo(-5 + x) = 0

Ignore the factor 7.

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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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:

| -14y-6-2y=-8-9 | | 7x+5(2x+14)=144 | | 4(7b-6)= | | 2/5+6=12 | | 4x-13=2x+14 | | 5x+5(4x-4)=130 | | 10n^2=270+60n | | 1/2-9/4=a/3 | | -3n+3(4n+15)=(-21) | | 20x^2-12x=11 | | 14d+30+d=-196 | | 2x+5(3x-18)=29 | | 3/10h=15 | | 4(2-3x)+6=(7-6x)+5 | | 1836x+x=1837 | | 7x+4(x+6)=90 | | (40+2x)(20+2x)=1200 | | 1/479-872-910199/4=a/3 | | 7c+3(3c+5)=(-103) | | y+4.3x=3.5 | | K-4.1=9.38 | | 4x+5(5x-17)=89 | | -9=6h+3(-h-3) | | -4.1=-9.38 | | 3y+5x-8=10 | | 5x-9=3x+8 | | 6x+2(4x-10)=64 | | -4f+2(4f-5)=-19 | | 12y+14+10v=80 | | 28=x^2-4x+3x-2 | | 1/5-9/10=a/3 | | (7-6x)+5= |

Equations solver categories