xln(7)+5ln(7)=xln(2)+3ln(2)

Simple and best practice solution for xln(7)+5ln(7)=xln(2)+3ln(2) 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 xln(7)+5ln(7)=xln(2)+3ln(2) equation:


Simplifying
xln(7) + 5ln(7) = xln(2) + 3ln(2)

Reorder the terms for easier multiplication:
7lnx + 5ln(7) = xln(2) + 3ln(2)

Reorder the terms for easier multiplication:
7lnx + 5 * 7ln = xln(2) + 3ln(2)

Multiply 5 * 7
7lnx + 35ln = xln(2) + 3ln(2)

Reorder the terms:
35ln + 7lnx = xln(2) + 3ln(2)

Reorder the terms for easier multiplication:
35ln + 7lnx = 2lnx + 3ln(2)

Reorder the terms for easier multiplication:
35ln + 7lnx = 2lnx + 3 * 2ln

Multiply 3 * 2
35ln + 7lnx = 2lnx + 6ln

Reorder the terms:
35ln + 7lnx = 6ln + 2lnx

Solving
35ln + 7lnx = 6ln + 2lnx

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
35ln + -6ln + 7lnx = 6ln + -6ln + 2lnx

Combine like terms: 35ln + -6ln = 29ln
29ln + 7lnx = 6ln + -6ln + 2lnx

Combine like terms: 6ln + -6ln = 0
29ln + 7lnx = 0 + 2lnx
29ln + 7lnx = 2lnx

Add '-2lnx' to each side of the equation.
29ln + 7lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 7lnx + -2lnx = 5lnx
29ln + 5lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 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:

| 6(4x+7)=-1 | | 8x+1=12x-15 | | 5b+2+4b=-34 | | 7(7x-6)=1 | | 2x^2-49x+360=0 | | 8x-3=7x+19 | | 3(5+6v)=33 | | 7(3x-7)=6 | | 5(11x+10)=-3 | | 2m+35=635 | | 69=95-c | | 36=(x+4)(3x+6) | | 5b-12=2b+15 | | (2x+4)(x+6)=384 | | 24-(5x+8y)=10 | | 5z-10=4h-6 | | X^5-4x^4-3x^3+34x^2-52x+24=0 | | 4t-7=33 | | 4t+7=33 | | 0=2sin(x)-2sin(2x) | | (-3r+5r)+(8-1)= | | 9*5+7*2=457 | | 3x+2y-x+5y= | | x+(x*0.14)=60000 | | 12+4.5x=79.50 | | H(x)=x^2-4x-4 | | 4(4x+1)=18x+1-2x+3 | | 4x^2=90+2x | | 12+(4.5xa)=79.50 | | 7p-3(3p+4)=10 | | 5h-10=35 | | 110-2x=25x+23 |

Equations solver categories