ln(y)=Xln(x)+lnA

Simple and best practice solution for ln(y)=Xln(x)+lnA 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(y)=Xln(x)+lnA equation:


Simplifying
ln(y) = Xln(x) + lnA

Multiply ln * y
lny = Xln(x) + lnA

Multiply lnX * x
lny = lnxX + lnA

Reorder the terms:
lny = lnA + lnxX

Solving
lny = lnA + lnxX

Solving for variable 'l'.

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

Add '-1lnA' to each side of the equation.
-1lnA + lny = lnA + -1lnA + lnxX

Combine like terms: lnA + -1lnA = 0
-1lnA + lny = 0 + lnxX
-1lnA + lny = lnxX

Add '-1lnxX' to each side of the equation.
-1lnA + -1lnxX + lny = lnxX + -1lnxX

Combine like terms: lnxX + -1lnxX = 0
-1lnA + -1lnxX + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1A + -1xX + y) = 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 '(-1A + -1xX + y)' equal to zero and attempt to solve: Simplifying -1A + -1xX + y = 0 Solving -1A + -1xX + y = 0 Move all terms containing l to the left, all other terms to the right. Add 'A' to each side of the equation. -1A + -1xX + A + y = 0 + A Reorder the terms: -1A + A + -1xX + y = 0 + A Combine like terms: -1A + A = 0 0 + -1xX + y = 0 + A -1xX + y = 0 + A Remove the zero: -1xX + y = A Add 'xX' to each side of the equation. -1xX + xX + y = A + xX Combine like terms: -1xX + xX = 0 0 + y = A + xX y = A + xX Add '-1y' to each side of the equation. y + -1y = A + xX + -1y Combine like terms: y + -1y = 0 0 = A + xX + -1y Simplifying 0 = A + xX + -1y 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:

| 6c-30=c+35 | | 2.6x-3.2=7.6-4.9x | | 3(2x-1)(x-3)=4x^2-1 | | 5e+8= | | 4+7x=3-x | | x^16= | | 7x+4=10+13x | | 10a^5-10a^2+5= | | 7x^3=42x^2 | | (20/x-1)=4 | | 1/6t-5/3=-2/3 | | (3i-2)(6i+4)= | | 6+3x=2-x | | 2x^3y=0 | | Cos=0.72 | | 3x-2y=40 | | log(2x)=-1 | | 5-x=7-3x | | 5x-2x+3=30-6x | | 2x+-6=6 | | ln(x)+ln(2x-1)=0 | | -1.5x+3=x-7 | | 23x+56+7x=14-3x+65 | | 7x=34x | | 14=4x+8 | | x/12=27/x | | 4x+3+20=40+3x | | 14=2(x-7) | | 28-8=56 | | 16/x=x/4 | | -x^2+35+750=0 | | 4/x=x/49 |

Equations solver categories