ln(56)-ln(x-1)=ln(x)

Simple and best practice solution for ln(56)-ln(x-1)=ln(x) 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 ln(56)-ln(x-1)=ln(x) equation: 


Simplifying
ln(56) + -1ln(x + -1) = ln(x)

Reorder the terms for easier multiplication:
56ln + -1ln(x + -1) = ln(x)

Reorder the terms:
56ln + -1ln(-1 + x) = ln(x)
56ln + (-1 * -1ln + x * -1ln) = ln(x)
56ln + (1ln + -1lnx) = ln(x)

Combine like terms: 56ln + 1ln = 57ln
57ln + -1lnx = ln(x)

Multiply ln * x
57ln + -1lnx = lnx

Solving
57ln + -1lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
57ln + -1lnx + -1lnx = lnx + -1lnx

Combine like terms: -1lnx + -1lnx = -2lnx
57ln + -2lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
57ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(57 + -2x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(57 + -2x)' equal to zero and attempt to solve:

Simplifying
57 + -2x = 0

Solving
57 + -2x = 0

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

Add '-57' to each side of the equation.
57 + -57 + -2x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -2x = 0 + -57
-2x = 0 + -57

Combine like terms: 0 + -57 = -57
-2x = -57

Add '2x' to each side of the equation.
-2x + 2x = -57 + 2x

Combine like terms: -2x + 2x = 0
0 = -57 + 2x

Simplifying
0 = -57 + 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:

| 11/12(6/5) | | 3x^2-3x-x^2+20=0 | | .70x^2-9x-4000=0 | | 5y-2x=3 | | a+2a+a+3a= | | 8x+200=5x+290 | | f=9/5*100+32 | | xsquared-18x+71=0 | | h(t)=12t^2 | | 7a-5=9 | | z^2-8z=-11 | | 10ab+2a+10ab=-20a+5 | | s^2+3s=-19 | | b+7/2=4b+3b+b/3 | | 3x^2-3x-x^2-20=0 | | -6w-24+8w=2w+18 | | 1232=p(1+0.02*6) | | x^2-4x-28=3x+2 | | 5x+3x=4x+9 | | -4(5x-7)= | | 100*t=2.6587 | | x-49=-91 | | 5=1x+22 | | 8m=144 | | y=5(4)+11 | | .35x^2-9x-4000=0 | | 12+3(-2x+5)=3-11x | | 42x-2=38x+1-3x | | 4x+7=221 | | (62.9296)(x)+(64.9278)(1-x)=63.546 | | a=8(4a-6)2 | | -7x+(5x+11)=3 |

Equations solver categories