2*ln(x)+ln(3)=ln(48)

Simple and best practice solution for 2*ln(x)+ln(3)=ln(48) 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 2*ln(x)+ln(3)=ln(48) equation: 


Simplifying
2ln(x) + ln(3) = ln(48)

Multiply ln * x
2lnx + ln(3) = ln(48)

Reorder the terms for easier multiplication:
2lnx + 3ln = ln(48)

Reorder the terms:
3ln + 2lnx = ln(48)

Reorder the terms for easier multiplication:
3ln + 2lnx = 48ln

Solving
3ln + 2lnx = 48ln

Solving for variable 'l'.

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

Add '-48ln' to each side of the equation.
3ln + -48ln + 2lnx = 48ln + -48ln

Combine like terms: 3ln + -48ln = -45ln
-45ln + 2lnx = 48ln + -48ln

Combine like terms: 48ln + -48ln = 0
-45ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-45 + 2x) = 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 '(-45 + 2x)' equal to zero and attempt to solve:

Simplifying
-45 + 2x = 0

Solving
-45 + 2x = 0

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

Add '45' to each side of the equation.
-45 + 45 + 2x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = 0 + 45
2x = 0 + 45

Combine like terms: 0 + 45 = 45
2x = 45

Add '-2x' to each side of the equation.
2x + -2x = 45 + -2x

Combine like terms: 2x + -2x = 0
0 = 45 + -2x

Simplifying
0 = 45 + -2x

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:

| 6-1*0+2/2=7 | | q+57=49 | | 2x+1(5x-37)=12 | | 3(11+18y)-8y=-3 | | 4s-12=-18+s | | 41=8v+1 | | -62=f-100 | | 25x^2-10=-9 | | 6c-12=24forc | | 1x-b=c | | d-58=24 | | 76=w+25 | | 2(3x+4)-2x-5-7x=20 | | 16x^2-256=9 | | -19=5-4y | | 21=1.05*16h | | -16t^2+30t+50=0 | | 4(4x+8)=48 | | 4x+1=70 | | 25z^2+16=-40z | | W+15=4w | | 500+x(30)=7700 | | 3x^2+2025=12 | | 3y+5m+6y= | | (5z-64)=81 | | (4f+7)(2f-7)= | | 3=2v+v | | 150=105h | | h+7+4h= | | 8g-3+2-7g= | | (5x-72)=63 | | u+1=4 |

Equations solver categories