Question

Express in exponential form.

log100.001 = -3

Answer 1

You need to know

\( log_a b = c\)

then
\( a^ c = b\)

Answer 2

Let's add colors

\(\large log_\color{red}{a} \color{cyan}{b} = \color{orange}{c}\)

then
\(\Large\color{red}{a}^{\color{orange}{c}} = \color{cyan}{b}\)


so your question is

\(\large log_{\color{red}{100}} \color{cyan}{0.001} = \color{orange}{-3}\)

Answer 3

ok am i solving it?

Answer 4

No, you're just expressing in exponential form

Answer 5

Basically you just re-write it without the log

Answer 6

ohhh so whats the answer then?

Answer 7

...?

I've given you everything you need and even included colors so you can see where what goes where

Here's an example if that didn't help

Answer 8

Thank you !

Answer 9

No problem

Answer 10

If you want me to check your answer, let me know