Question

Evaluate or simplify the expression without using a calculator. log 1000

Answer 1

hint: 1000 = 10^3

Answer 2

30?

Answer 3

another hint: log(x^y) = y*log(x)

Answer 4

I dont understand that last hint

Answer 5

basically if you have something like 10^3 in the log function, you can pull the exponent down and stick it in front of the log

ie

log(10^3) = 3*log(10)

Answer 6

Is my answer going to be a fraction?

Answer 7

what is log(10)

Answer 8

1000?

Answer 9

what is the default base of a log

Answer 10

I dont know

Answer 11

what's the default counting base

Answer 12

ie, is it base 5? base 8? base 10? base 12? or something else

Answer 13

10

Answer 14

so because of that, logs are by default base 10

Answer 15

if you do not see a small base number, then assume it's base 10

Answer 16

so that means log(10) = ???

Answer 17

100?

Answer 18

10^x = 10

what is x?

Answer 19

I dont know

Answer 20

give it some thought

raise any number to some power and you get that same number back

what replaces "some power"

Answer 21

1

Answer 22

good, so 10^1 = 10

Answer 23

that means that log(10) = 1

Answer 24

Ok

Answer 25

so you have enough info to answer the question

Answer 26

A. 3

Answer 27

yep you got it

Answer 28

thanks

Answer 29

yw