ln(7x)=2ln(8x)

Simple and best practice solution for ln(7x)=2ln(8x) 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(7x)=2ln(8x) equation:


Simplifying
ln(7x) = 2ln(8x)

Remove parenthesis around (7x)
ln * 7x = 2ln(8x)

Reorder the terms for easier multiplication:
7ln * x = 2ln(8x)

Multiply ln * x
7lnx = 2ln(8x)

Remove parenthesis around (8x)
7lnx = 2ln * 8x

Reorder the terms for easier multiplication:
7lnx = 2 * 8ln * x

Multiply 2 * 8
7lnx = 16ln * x

Multiply ln * x
7lnx = 16lnx

Solving
7lnx = 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.
7lnx + -16lnx = 16lnx + -16lnx

Combine like terms: 7lnx + -16lnx = -9lnx
-9lnx = 16lnx + -16lnx

Combine like terms: 16lnx + -16lnx = 0
-9lnx = 0

Divide each side by '-9'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

See similar equations:

| 35+(-25)=155 | | 35(42)= | | 5p-8=3p-7 | | 4x^2=17 | | 5p-8=5p-7 | | 5p+3q=43 | | X=e^64-e^0 | | 14-7x=92-21x | | 2(r+9)=2(4r-9) | | -3(-2b+11)-12=b-10(12b-8) | | -2b-5(-3b-10)=-5(-7b-10) | | 10(9+9n)=-7n+8(1+7n) | | 6(5+9x)=4x-12(1-3x) | | -11(n-11)=-4-7(n-11) | | 4x-4=3(2x-1) | | 7(x+5)-4=12(x-7) | | 5(-3+3n)=10(n+2) | | 11p+9(p-8)=-4(p-6) | | -9m-5m=12(m-4)+8(11-3m) | | 33+x=5(4x-1) | | x^2+x=90 | | -x-37=6(-3x+8) | | 3x(x+6)=120 | | -2-6(1+a)=-23-a | | -5(1-4k)=19+8k | | 32+8b=-6(2+6b) | | 32+8b= | | 32+8b=6(2+6b) | | -7(1+n)=-18+4n | | 4x+32=4(x+8) | | -146-10x=7x+23 | | 259-7x=38x+19 |

Equations solver categories