ln(2x+6)=ln(32)

Simple and best practice solution for ln(2x+6)=ln(32) 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(2x+6)=ln(32) equation:


Simplifying
ln(2x + 6) = ln(32)

Reorder the terms:
ln(6 + 2x) = ln(32)
(6 * ln + 2x * ln) = ln(32)
(6ln + 2lnx) = ln(32)

Reorder the terms for easier multiplication:
6ln + 2lnx = 32ln

Solving
6ln + 2lnx = 32ln

Solving for variable 'l'.

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

Add '-32ln' to each side of the equation.
6ln + -32ln + 2lnx = 32ln + -32ln

Combine like terms: 6ln + -32ln = -26ln
-26ln + 2lnx = 32ln + -32ln

Combine like terms: 32ln + -32ln = 0
-26ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-13 + x) = 0

Ignore the factor 2.

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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Add '-1x' to each side of the equation. x + -1x = 13 + -1x Combine like terms: x + -1x = 0 0 = 13 + -1x Simplifying 0 = 13 + -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:

| x-2+2x+2y=4 | | X^4+4xy+2y^4=8 | | 9*11=x*14 | | q=20-5 | | 2sinx+3cosx=6 | | (1+1)+9= | | 15=p-5 | | 5+(4+1)= | | 38x+2-2(x+6)=9(4x-7)+5 | | 8k+3[5h-(3k-2h)]=-k+21u | | -5x-4=-6x+7 | | x(3x-1)+5=5(x+1) | | b(20b-3)=0 | | 5y+x-10=2x | | -36=-63.4+x | | 14.3+x=62.3 | | x+89.7=80.6 | | 10x-19=2x+4 | | 54.3+x=20 | | 100*7+150*x=18700 | | 16a+4b=8 | | -x+56.1=-56.3 | | x^3-6x^2+13x-11=0 | | x+39.6=37 | | 5u^2-u-2=0 | | 4x+3u+20=0 | | 6k+5k=12 | | E^1-11x=2 | | ln(x^3-8)-ln(x-2)=0 | | 6z^2+3=27forz | | 50x-120x(92-x)=8340 | | x*0.53=0.33 |

Equations solver categories