ln(x^2+15)=ln(x)+ln(8)

Simple and best practice solution for ln(x^2+15)=ln(x)+ln(8) 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^2+15)=ln(x)+ln(8) equation: 


Simplifying
ln(x2 + 15) = ln(x) + ln(8)

Reorder the terms:
ln(15 + x2) = ln(x) + ln(8)
(15 * ln + x2 * ln) = ln(x) + ln(8)
(15ln + lnx2) = ln(x) + ln(8)

Multiply ln * x
15ln + lnx2 = lnx + ln(8)

Reorder the terms for easier multiplication:
15ln + lnx2 = lnx + 8ln

Reorder the terms:
15ln + lnx2 = 8ln + lnx

Solving
15ln + lnx2 = 8ln + lnx

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
15ln + -8ln + lnx2 = 8ln + -8ln + lnx

Combine like terms: 15ln + -8ln = 7ln
7ln + lnx2 = 8ln + -8ln + lnx

Combine like terms: 8ln + -8ln = 0
7ln + lnx2 = 0 + lnx
7ln + lnx2 = lnx

Add '-1lnx' to each side of the equation.
7ln + -1lnx + lnx2 = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
7ln + -1lnx + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(7 + -1x + x2) = 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 '(7 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x + x2 = 0

Solving
7 + -1x + x2 = 0

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

Add '-7' to each side of the equation.
7 + -1x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -1x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + x2 = 0 + -7
-1x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + x2 = -7

Add 'x' to each side of the equation.
-1x + x + x2 = -7 + x

Combine like terms: -1x + x = 0
0 + x2 = -7 + x
x2 = -7 + x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -7 + x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -7 + x + -1x2

Simplifying
0 = -7 + x + -1x2

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:

| x+7+.33*x=1.33*x-2 | | 21=7e^2x | | 27x-90x^2=0 | | 9(5k+2)+4(7-10k)= | | y+4=-5(x-8) | | -6a-b+11c-8-7a=10b-3x-9 | | -4/6=n/3 | | -2x=7+y | | 18-2x=4x-6 | | 3w=15-2w | | 1/3x-2x=28 | | x*3/8x=6 | | (1/2)-(1/(2(1-2x)^2)) | | 11u=8u+15 | | -2(x+4)+3=3(2+x) | | 4w=24-2w | | 231/258 | | (3x+17)+(x+9)=180 | | 7.2v+7=4.7v-8.25 | | 8(5r+3)= | | 2-w=265 | | 2x+(x+34)=180 | | log(x+4)+log(x-4)=log(48) | | 144=224-w | | 5/400 | | 12.7=0.8x | | 3/2x-5/4x | | (x/4)-(3/2)=(x-7)/2 | | 226=-u+92 | | 11/4s=-11/12 | | 10(2x-5)=18(x+2) | | 56=-8g |

Equations solver categories