Question

simplify if possible

log0.01

Answer 1

Hints

1) 0.01 = 1/100 = 1/(10^2) = 10^(-2), so in short, 0.01 = 10^(-2)

2) log(x^y) = y*log(x)

3) log(10) = 1 where the base of the log is 10

Answer 2

I was thinking it was log 0.01 = 10^-1 because there was only one zero after the decimal

Answer 3

0.1 = 10^(-1)

Answer 4

oh ok that makes sense!

Answer 5

log(0.01) = log(10^(-2))

log(0.01) = -2*log(10) ... use the rule in hint #2 above

log(0.01) = -2*1 ... use the rule in hint #3 above

log(0.01) = -2

and I'm sure you probably figured it out by now

Answer 6

If I were to write it as log 0.01 = 10^-2 would that still be correct?

Answer 7

no

Answer 8

0.01 = 10^(-2), that's true

but

log(0.01) = 10^(-2) is false

Answer 9

ok. for this next one its asking me to use a calculator to approximate the logarithm to four decimals (round to four decimal places as needed)

log 2.68

Answer 10

I dont have a scientific calculator.

Answer 11

well you can use google as a calculator

typing in

log(2.68)

will give you this

https://www.google.com/search?hl=&q=log%282.68%29+&sourceid=navclient-ff&rlz=1B3GGLL_enUS420US420&ie=UTF-8

Answer 12

make sure you round to 4 places

Answer 13

so it would be 0.4281

Answer 14

yep

Answer 15

thanks!

Answer 16

sure thing