Question

Solve lnx-ln6=0

Answer 1

use

lna - lnb = ln(a/b)

Answer 2

so ln(x/6)?

Answer 3

yes

Answer 4

is there anymore

Answer 5

how you know the function logarithmic can being zero

Answer 6

i don't know

Answer 7

sorry wait please

Answer 8

lnx -ln6 =0

lnx =ln6

x=6

Answer 9

correct

Answer 10

oh so that's how you do it

Answer 11

well, you sort of skipped something

Answer 12

\(\ln(6)-\ln(x)=0\implies \ln(6)=\ln(x) \implies e^{\ln(x)}=e^{\ln(x)}\implies x=6\)

Answer 13

but we often skip that step, or argue that since \(\ln(x)\) is a 1-1 function, \(\ln(a)=\ln(b)\implies a=b\)

Answer 14

but you could not do that with other functions like \(f(x) = x^2\) because it is true that \(f(2)=2^2=(-2)^2=f(-2)\) but \(2\ne -2\)

Answer 15

Oh woops, I thought you asked this question @jhonyy9 . Do you understand @juan1857 ?

Answer 16

yeah sorta

Answer 17

ok. @zzr0ck3r ty

Answer 18

so is it practically what @jhonyy9 only more complicated for me lol

Answer 19

yes you see it right juan

Answer 20

as long as you get it. I just added one more step that often gets skipped and most teachers dont mind. I don't...

Answer 21

wait, on your example what happened to the lns,

Answer 22

ok @zzr0ck3r

Answer 23

thanks