log(t-3)=log(17-4t)

Simple and best practice solution for log(t-3)=log(17-4t) 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(t-3)=log(17-4t) equation:


Simplifying
log(t + -3) = log(17 + -4t)

Reorder the terms:
glo(-3 + t) = log(17 + -4t)
(-3 * glo + t * glo) = log(17 + -4t)
(-3glo + glot) = log(17 + -4t)
-3glo + glot = (17 * glo + -4t * glo)
-3glo + glot = (17glo + -4glot)

Solving
-3glo + glot = 17glo + -4glot

Solving for variable 'g'.

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

Add '-17glo' to each side of the equation.
-3glo + -17glo + glot = 17glo + -17glo + -4glot

Combine like terms: -3glo + -17glo = -20glo
-20glo + glot = 17glo + -17glo + -4glot

Combine like terms: 17glo + -17glo = 0
-20glo + glot = 0 + -4glot
-20glo + glot = -4glot

Add '4glot' to each side of the equation.
-20glo + glot + 4glot = -4glot + 4glot

Combine like terms: glot + 4glot = 5glot
-20glo + 5glot = -4glot + 4glot

Combine like terms: -4glot + 4glot = 0
-20glo + 5glot = 0

Factor out the Greatest Common Factor (GCF), '5glo'.
5glo(-4 + t) = 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Add '-1t' to each side of the equation. t + -1t = 4 + -1t Combine like terms: t + -1t = 0 0 = 4 + -1t Simplifying 0 = 4 + -1t 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:

| (4w^2-4w-6)-(2w^2+3w+6)= | | 4x+3x+2x-6=30 | | X+0.16X=73607938.85 | | X-0.16X=73607938.85 | | 4(x+5)+9=-7+3x | | 5c+8c-3=10 | | 2.4/8.856 | | 24-15= | | 7x-58=5x-14 | | 6/9x+1/2x | | X-0.0432X=70428075.89 | | 26-3x=14 | | 73-6x=21x+22 | | 5-7x=43-14x | | 7x-5y=13 | | 7x=2x-5 | | 7x-5y= | | Log(3x+1)=2.3 | | 2a+3a-8=17 | | 1/3x24 | | 6x+10y=4 | | 3x+5y=-11 | | 12mn*-5n= | | 7a=3a-4a | | 5n=110 | | x=i^2 | | v+5=-3 | | 7y-10=60 | | 23z-56=46 | | (x+2)(x+2)=3(x+2) | | y=4-3x-2 | | (x+7)(x-7)=3x |

Equations solver categories