Question

Is there a thing as an inverse Log?
I mean like Sinx=y, then inverse is Sin^(-1)y=x
is there same thing for log?

Answer 1

yes

Answer 2

ln?

Answer 3

\[a^{\log_a(x)}=x\]

\[\log_{a}(a^x)=x\]

Answer 4

So if I have
\[\log_3(\log_x)=5\]
How would I do that?

Answer 5

what is inside the inner log?

Answer 6

O, forgot to put it, 3

Answer 7

log base 3 of x?

Answer 8

\[\log_3(\log_x3)=5\]

Answer 9

ok...

\[3^{\log_{3}(\log_{x}(3))}=\log_{x}(3)\]

Answer 10

that gives

\[\log_{x}(3)=3^5\]

Answer 11

how did you get your first thing, 3 to the log base 3.... ?

Answer 12

\[\log_3(\log_x3)=5\Rightarrow 3^{\log_3(\log_x3)}=3^5\]

Answer 13

I don't get that, sorry.

Answer 14

if \[a=b\] then \[3^a=3^b\]

Answer 15

Ok, I get it, and what's after you got that second equation.

Answer 16

\[\log_3(\log_x3)=5\Rightarrow 3^{\log_3(\log_x3)}=3^5\]

\[\Rightarrow \log_{x}(3)=3^5\]

Answer 17

Then use \[\log_a(b)=c \Leftrightarrow a^c=b\]

Answer 18

x^5=3^5
x=3

Answer 19

Oh my bad

Answer 20

\[\Rightarrow \log_{x}(3)=3^5\Leftrightarrow x^{(3^5)}=3\]

Answer 21

OK so
x=3/125

Answer 22

so \[x^{243}=3\]

Answer 23

Oh the other way, yes
81

Answer 24

no

Answer 25

raise both sides to the 1/243 power

Answer 26

243th root of 3

Answer 27

Should have got that before....

Answer 28

yes\[\sqrt[243]{3}\]

Answer 29

Yep. I meant that, ty!