log(8)(x+8)=log(8)10

Simple and best practice solution for log(8)(x+8)=log(8)10 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(8)(x+8)=log(8)10 equation:


Simplifying
log(8)(x + 8) = log(8) * 10

Reorder the terms:
glo * 8(8 + x) = log(8) * 10

Reorder the terms for easier multiplication:
8glo(8 + x) = log(8) * 10
(8 * 8glo + x * 8glo) = log(8) * 10
(64glo + 8glox) = log(8) * 10

Reorder the terms for easier multiplication:
64glo + 8glox = 8 * 10glo

Multiply 8 * 10
64glo + 8glox = 80glo

Solving
64glo + 8glox = 80glo

Solving for variable 'g'.

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

Add '-80glo' to each side of the equation.
64glo + -80glo + 8glox = 80glo + -80glo

Combine like terms: 64glo + -80glo = -16glo
-16glo + 8glox = 80glo + -80glo

Combine like terms: 80glo + -80glo = 0
-16glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), '8glo'.
8glo(-2 + x) = 0

Ignore the factor 8.

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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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:

| -2(4+5)+6=20 | | x+0.7x=153 | | 8w-10w=18 | | s^2+0.2375s+0.2375=0 | | 3/z-9 | | x^2+4x=297 | | 2.1x+4.1y=289670 | | s^2+0.25s+0.1125=0 | | logx=17.55 | | s^2+0.25s+0.25=0 | | 1.1(-0.3+10)=7.7 | | x^2+16x=208 | | 4x^2-21=18 | | x^2-148x+576=0 | | 1/10x5/19 | | -1.6n=0.032 | | 4x^2=10x+126 | | 241/2b | | 34+y=50 | | 55=15+0.1x+0.0003x^2 | | y+3=-3(x-9) | | 3.7(4x+3)= | | 15=3(v-3)-6v | | 0.6(7k+3.4)=1.2 | | 0.6(0.7+3.4)=1.2 | | 4x+5y-8=0 | | 4p+10=5(2p+3) | | 800=8x+30 | | 2p+7=10-3 | | 63=2.6-3.6+8y | | 6j-3(4)=15 | | -4=w/7-18÷2 |

Equations solver categories