Question

How do i simplify log(1/100)

Answer 1

I'm quite certain 1/100 is ten raised to something...

Answer 2

-2 is the answer use calculator :D

Answer 3

thanks jacal, but i guess i should of specified my question as "to be simplified w/o cal"

Answer 4

dont call me jacal call me aila please

Answer 5

its hard to find wthout using calculator :D

Answer 6

log without the base specified generally means \( \log_{10} \) read log base 10

It helps to know
\[ \log(10^a) = a\]
when you see log, think of two things: the base, and the exponent of the base

Answer 7

for your problem, it would be convenient to write 1/100 as 10 to some power

hopefully you know 10*10= 100, or, using exponents, 10^2 = 100
so 1/100 is the same as 1/10^2
that is close to what you want. but it is "upside down"

However, you should remember that
\[ \frac{1}{10^a} = 10^{-a} \]
that is a good rule to remember.

use that rule to write 1/10^2 as 10^-2

now what is
\[ \log(10^{-2} )\]

Answer 8

its -2Log10

Answer 9

and what is
\[ \log(10^1) \]

Answer 10

1?

Answer 11

correct

Answer 12

the simple rule is
\[ \log(10^a) = a \]

so log(10^1) is 1
and -2*1 = -2

notice you could use the rule to get
log(10^-2) = -2
immediately

or you could do what you did

Answer 13

oh ok Thanks!

Answer 14

click the best response please