Question

Evaluate Logarithmic. Show work.

log0.0001

Answer 1

hint": \(0.0001=10^{-4}\)

Answer 2

log-10,000?

Answer 3

no, try this
\[\log_{10}(x)=y\iff 10^y=x\]

Answer 4

on other words, \(\log(0.001)\) is the number \(y\) so that \(10^y=0.0001\)

Answer 5

ok so whats next cause i did 10 by -4 lol

Answer 6

it is not multiplication, it is the exponent
if you want to know what \(\log(0.0001)\) is, you have to be able to solve \(10^y=0.0001\)

Answer 7

since \(10^{-4}=0.0001\) you know
\[\log(0.0001)=-4\]

Answer 8

lol so its -4?

Answer 9

yes, that is what it is

Answer 10

thank you!