log(5)[2x-7]=log(5)[3x-9]

Simple and best practice solution for log(5)[2x-7]=log(5)[3x-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(5)[2x-7]=log(5)[3x-9] equation:


Simplifying
log(5)[2x + -7] = log(5)[3x + -9]

Reorder the terms:
glo * 5[-7 + 2x] = log(5)[3x + -9]

Reorder the terms for easier multiplication:
5glo[-7 + 2x] = log(5)[3x + -9]
[-7 * 5glo + 2x * 5glo] = log(5)[3x + -9]
[-35glo + 10glox] = log(5)[3x + -9]

Reorder the terms:
-35glo + 10glox = glo * 5[-9 + 3x]

Reorder the terms for easier multiplication:
-35glo + 10glox = 5glo[-9 + 3x]
-35glo + 10glox = [-9 * 5glo + 3x * 5glo]
-35glo + 10glox = [-45glo + 15glox]

Solving
-35glo + 10glox = -45glo + 15glox

Solving for variable 'g'.

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

Add '45glo' to each side of the equation.
-35glo + 45glo + 10glox = -45glo + 45glo + 15glox

Combine like terms: -35glo + 45glo = 10glo
10glo + 10glox = -45glo + 45glo + 15glox

Combine like terms: -45glo + 45glo = 0
10glo + 10glox = 0 + 15glox
10glo + 10glox = 15glox

Add '-15glox' to each side of the equation.
10glo + 10glox + -15glox = 15glox + -15glox

Combine like terms: 10glox + -15glox = -5glox
10glo + -5glox = 15glox + -15glox

Combine like terms: 15glox + -15glox = 0
10glo + -5glox = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(2 + -1x) = 0

Ignore the factor 5.

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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(3+7)=65 | | 10p-3p-4p=18 | | 2.25x+1.75y=20.50 | | 10p-p-4p=10 | | 3(n-27)+n=35 | | pew= | | 9x/16-17x/16 | | 3x+x+3=2(2x+1)+1 | | y+5=4/7(x+11) | | 5x-7y= | | 2*Inx=6.8 | | x(3x+7)=20 | | 19y+3y-7y-3y-9y=12 | | 2y-5=25 | | 5/a-4=12 | | math= | | (9xy^2-8y)(9xy^2+8y)= | | 2n^2-32n+128=0 | | 32x^2+36x+9=0 | | x(2x+11)=-5 | | 3x-10=-4x+39 | | 110d+0.40m=50d+0.80m | | k-87=4 | | u/6=60 | | 8m=5m+2 | | A=3.14(8)2 | | 8m=5m | | (x-3y)(5x+4y)= | | y-50=4(x-10) | | (x+7y)(7x+6y)= | | 6z^4-150=0 | | (x-5)/7=(-3) |

Equations solver categories