ln(3)=ln(16x)

Simple and best practice solution for ln(3)=ln(16x) 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(3)=ln(16x) equation: 


Simplifying
ln(3) = ln(16x)

Reorder the terms for easier multiplication:
3ln = ln(16x)

Remove parenthesis around (16x)
3ln = ln * 16x

Reorder the terms for easier multiplication:
3ln = 16ln * x

Multiply ln * x
3ln = 16lnx

Solving
3ln = 16lnx

Solving for variable 'l'.

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

Add '-16lnx' to each side of the equation.
3ln + -16lnx = 16lnx + -16lnx

Combine like terms: 16lnx + -16lnx = 0
3ln + -16lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + -16x) = 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 '(3 + -16x)' equal to zero and attempt to solve:

Simplifying
3 + -16x = 0

Solving
3 + -16x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -16x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 0 + -3
-16x = 0 + -3

Combine like terms: 0 + -3 = -3
-16x = -3

Add '16x' to each side of the equation.
-16x + 16x = -3 + 16x

Combine like terms: -16x + 16x = 0
0 = -3 + 16x

Simplifying
0 = -3 + 16x

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:

| 6m+9=39 | | (25*40)*x=9.7 | | 3+4h=9+2h | | x+5=57 | | 10x+49=159 | | 25*40*x=9.7 | | 13(2k+11)=12(2k+12) | | -3t=-6r+2s | | -27+x=19 | | 9x-7=5+3x | | 6x+8x-44=110-8x | | 36(4x+5)=21(8x-4) | | 4(2b-1)=5(b+1) | | 4x+8x-21=63-9x | | 19z-10+4z=3z-4 | | 3/4y-5=1/12(y-4) | | 25e^2x+1=95 | | 3x+2(5-1)=2(x+9) | | 16=4v+8 | | 7x+9x-20=100-4x | | 2p^2+8p=10 | | y=-x^2+3x-6 | | 16x^3-250=0 | | 2r+3g=33 | | 15=.15xn | | (37b-4)-9(4b+3)=-5 | | 175m-100m+43425=45675-150m | | x=2x^2+6x-4 | | 6r=2s+3t | | 7(2n-3)=91 | | 1.4x-3.8=0.4x+6.2 | | (x+2)+(x+26)=78 |

Equations solver categories