LN(x)+ln(x-2)=ln(15)

Simple and best practice solution for LN(x)+ln(x-2)=ln(15) 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(x)+ln(x-2)=ln(15) equation:


Simplifying
LN(x) + ln(x + -2) = ln(15)

Multiply LN * x
xLN + ln(x + -2) = ln(15)

Reorder the terms:
xLN + ln(-2 + x) = ln(15)
xLN + (-2 * ln + x * ln) = ln(15)
xLN + (-2ln + lnx) = ln(15)

Reorder the terms:
-2ln + lnx + xLN = ln(15)

Reorder the terms for easier multiplication:
-2ln + lnx + xLN = 15ln

Solving
-2ln + lnx + xLN = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
-2ln + lnx + -15ln + xLN = 15ln + -15ln

Reorder the terms:
-2ln + -15ln + lnx + xLN = 15ln + -15ln

Combine like terms: -2ln + -15ln = -17ln
-17ln + lnx + xLN = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-17ln + lnx + xLN = 0

Add '-1xLN' to each side of the equation.
-17ln + lnx + xLN + -1xLN = 0 + -1xLN

Combine like terms: xLN + -1xLN = 0
-17ln + lnx + 0 = 0 + -1xLN
-17ln + lnx = 0 + -1xLN
Remove the zero:
-17ln + lnx = -1xLN

Combine like terms: -1xLN + xLN = 0
-17ln + lnx + xLN = 0

The solution to this equation could not be determined.

See similar equations:

| -11x+8x-22=38 | | (3x^2)(e^4x)+(x^3)(4e^4x)=0 | | -106+4x+5x=56 | | -6v+7=v+7 | | 6x^3+2x^2-96x-144=0 | | 5-8x+7+4x+5x-2=8+2*4 | | 16d^4+7d^2+1= | | -3x-9y=3 | | -5x-46+12x=87 | | x^2-7x=1100 | | 7.7x-2.4=13.0 | | (-8y^5z^4)(8yz^3)= | | 3.7=-logx | | 3x+26=1x+40 | | 4+ax=6 | | -82-2x+9x=128 | | -14g+20=-13g | | 4k+13=25 | | 2y-3x=-30 | | X-24+(3)(-5)-1= | | x^2+4y^2-14x+24y+81=0 | | -20-5t=20-9t-8 | | 100=12x+8 | | X^2-6x=6x+25 | | 3v-18=18-6v | | m-(5-3m)=3m+4 | | 7+2b=1 | | 5(x+2)-6=25 | | -9z+7=-8z | | 9+30y= | | y=3(1.1)x | | -5+4k-3k=-k+7 |

Equations solver categories