ln(5x-10)=ln(19)

Simple and best practice solution for ln(5x-10)=ln(19) 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(5x-10)=ln(19) equation: 


Simplifying
ln(5x + -10) = ln(19)

Reorder the terms:
ln(-10 + 5x) = ln(19)
(-10 * ln + 5x * ln) = ln(19)
(-10ln + 5lnx) = ln(19)

Reorder the terms for easier multiplication:
-10ln + 5lnx = 19ln

Solving
-10ln + 5lnx = 19ln

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
-10ln + -19ln + 5lnx = 19ln + -19ln

Combine like terms: -10ln + -19ln = -29ln
-29ln + 5lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-29ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-29 + 5x) = 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 '(-29 + 5x)' equal to zero and attempt to solve:

Simplifying
-29 + 5x = 0

Solving
-29 + 5x = 0

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

Add '29' to each side of the equation.
-29 + 29 + 5x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 5x = 0 + 29
5x = 0 + 29

Combine like terms: 0 + 29 = 29
5x = 29

Add '-5x' to each side of the equation.
5x + -5x = 29 + -5x

Combine like terms: 5x + -5x = 0
0 = 29 + -5x

Simplifying
0 = 29 + -5x

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:

| ln(5x+10)=ln(19) | | 0.7x-0.3=0.6x+5 | | -40+9x=-11x+4(5x+12) | | 9=1a/7a | | -4x+4y=16 | | 232+6(log)x=190 | | x+y+2y=45 | | -27.0=-4.5c | | -6x+y=24 | | -2x^2+5=3x-3 | | 51=x+4x+(x+3) | | -4(4)+4y=16 | | 6+z*10=-2 | | 2x/7x=3 | | x(15x+4)=32 | | 6x-6=4x+10 | | 2x/8x=3 | | f(x)=x^3+6x^2+3x-10 | | -6(4)+y=24 | | -12(2n+11)=3(5n-5) | | 6x-1=27-x | | 5+log^4(-4x)=7 | | 3x+2(x-7)=(9x-1)-(x-8) | | -6x+(-6x+24)=24 | | 10x+8=158 | | 300=x+(x+20) | | n+3*8=-4 | | .5(4x-10)=15 | | (h-6)=2(5-2h) | | 2/7(x)= | | x+7=x-31 | | 29x-17y=-7 |

Equations solver categories