ln(10)+ln(x-6)=ln(16)

Simple and best practice solution for ln(10)+ln(x-6)=ln(16) 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(10)+ln(x-6)=ln(16) equation: 


Simplifying
ln(10) + ln(x + -6) = ln(16)

Reorder the terms for easier multiplication:
10ln + ln(x + -6) = ln(16)

Reorder the terms:
10ln + ln(-6 + x) = ln(16)
10ln + (-6 * ln + x * ln) = ln(16)
10ln + (-6ln + lnx) = ln(16)

Combine like terms: 10ln + -6ln = 4ln
4ln + lnx = ln(16)

Reorder the terms for easier multiplication:
4ln + lnx = 16ln

Solving
4ln + lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
4ln + -16ln + lnx = 16ln + -16ln

Combine like terms: 4ln + -16ln = -12ln
-12ln + lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-12ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-12 + x) = 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 '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Add '-1x' to each side of the equation.
x + -1x = 12 + -1x

Combine like terms: x + -1x = 0
0 = 12 + -1x

Simplifying
0 = 12 + -1x

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:

| 4x^2-x-3=3 | | -2(3y-5)-4=-4(y-4) | | 7p-(8+4p)=-5 | | 4-3x=2(10-2x) | | -4x-4+-2y+7x= | | 3m+x=m-5x | | x/6.8=11.5 | | -3t--14=5 | | 2y+10=6x | | b(b+10)+6=b(b+6)-2 | | 2x^2-3x-84=0 | | A(3)=-7+(n-1)(5) | | c(c+8)-c(c+3)-23=3c+11 | | 5(9b+7)=-61-3b | | 5t-2=23 | | -0.5d-0.7d=0.8 | | x(x-12)=63 | | .25x+40+15=45+.35x | | a(a+2)+3a=a(a-3)+8 | | 77=(P^6*8)-19 | | 4(y^2-3y)-8=2y(2y+4)+32 | | 26/65 | | 30x=2x | | 96=8P^6 | | 9z-3=8z+2 | | X^4-7x^3+5x^2+31x=0 | | 5(7+8f)=-25 | | 20=6+2(x+9) | | (63x^2-81x)/(63x^2+54x) | | 5/2=(d-2)/4 | | 12=p^6 | | 2p+5p+4=25 |

Equations solver categories