log(x-2)=log(3x+7)

Simple and best practice solution for log(x-2)=log(3x+7) 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(x-2)=log(3x+7) equation:


Simplifying
log(x + -2) = log(3x + 7)

Reorder the terms:
glo(-2 + x) = log(3x + 7)
(-2 * glo + x * glo) = log(3x + 7)
(-2glo + glox) = log(3x + 7)

Reorder the terms:
-2glo + glox = glo(7 + 3x)
-2glo + glox = (7 * glo + 3x * glo)
-2glo + glox = (7glo + 3glox)

Solving
-2glo + glox = 7glo + 3glox

Solving for variable 'g'.

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

Add '-7glo' to each side of the equation.
-2glo + -7glo + glox = 7glo + -7glo + 3glox

Combine like terms: -2glo + -7glo = -9glo
-9glo + glox = 7glo + -7glo + 3glox

Combine like terms: 7glo + -7glo = 0
-9glo + glox = 0 + 3glox
-9glo + glox = 3glox

Add '-3glox' to each side of the equation.
-9glo + glox + -3glox = 3glox + -3glox

Combine like terms: glox + -3glox = -2glox
-9glo + -2glox = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
-9glo + -2glox = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(9 + 2x) = 0

Ignore the factor -1.

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 '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Add '-2x' to each side of the equation. 2x + -2x = -9 + -2x Combine like terms: 2x + -2x = 0 0 = -9 + -2x Simplifying 0 = -9 + -2x 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:

| 16x+95=170 | | -45-1x=30-6x | | p^2+7p-1=7 | | 5(9x-11)=485 | | t^2+4t+5=0 | | 10y-40=3y+9 | | -10y+7=37 | | 3-8x=-125 | | 2x(4x+x)=16 | | 9(9x-16)=585 | | -32-8k=-(5+k) | | g(x)=4x+5 | | 0=8+7*cos(3*t)+7*cos(6*t) | | 26x+51y= | | 15=1.3 | | 5x+14=99 | | x(x-28)= | | x(x-6)+5=0 | | 6x-21=7+2x | | 15=1.3+1.3 | | 80x-16x^2=64 | | -5c-6=-22 | | -7=w-32+6 | | 0.7x-0.1y=0.6 | | f(x)=12x(squared)-24x-63 | | y-234747= | | 4k-14k=-42 | | w^2+4w-165=0 | | a+5y-1=156 | | 2y+8=y+14 | | 5x+22=2 | | 8+3x-4x=x-3x+29 |

Equations solver categories