Question

How would you solve a problem like this:
Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth.

log6 21

Answer 1

I'm assuming that's base 6. So what this is saying is....
6^x = 21. We're solving for x, and it's not too easy to find at first glance.
What you can do is use a calculator and do this:
log(21)/log(6)

Answer 2

Thank you!! My brain is fried from 3 hours of constantly changing math problems and I couldn't think of this. haha

Answer 3

Express in exponential form.

log 3 a = n

? Help with this one?

Answer 4

log base 3 (a) = n. I'll put it in words to see if you can write it. The base, 3, raised to some power, n, will equal a.

Answer 5

Thanks!
Okay, one more for you:
log 10 -2 =

Answer 6

log base 10 of -2 = ?. K, 10^x = -2. This does not exist b/c x can be anything, you will not get a negative answer.

Answer 7

The logarithm of a negative number does not exist.

Answer 8

So, would the answer be 2 or 0? Those are my choices.

Answer 9

Neither lol. Did you write out the problem correctly?

Answer 10

I am taking a quiz on an online class course and the answers I am given are -2, 2 and 0. But you said it wasn't going to be a negative! haha

Answer 11

I said you can't take the logarithm of a negative number, so there can't be an answer. D:

Answer 12

Are you certain you wrote it correctly, it's not log 10 = -2?

Answer 13

nope, I copied and pasted the exact problem. I guessed, and I made a 58.6 on the quiz....haha
Now I have another test over this to take....

Answer 14

Lol, I'm not sure then. That was a dumb question.

Answer 15

Would you like to help me on this test as well? :P

Answer 16

If it's easy. Idk why I'm on here, I don't want to do my Calculus 3 hmwk. D:

Answer 17

I'm not helping if I have to write stuff lol

Answer 18

It will be pretty much the same type questions. haha.

Answer 19

Ok

Answer 20

Some of them I will know, because, I'm not completely retarded, I swear! haha

Answer 21

lol :p

Answer 22

Input in standard form the equation of the given line.

The line that passes through (1, 5) and (-2, 3)

Answer 23

Is standard form y = mx + b? Or you have x and y on both sides....

Answer 24

I think standard is y=mx+b

Answer 25

We need to find the slope created by these two points. Eq for slope:
\[m = \frac{ y2-y1 }{ x2-x1 }\]

Answer 26

so, -2 and -3

Answer 27

Then we use point-slope equation to find the eq. for the line:

(y-y1) = m(x-x1) I think you can either use (1,5) or (-2,3)

Answer 28

Then divide them to get the slope of the line through those points. So m = 2/3

Answer 29

Hmm, that is the only question I needed actually, the rest is just graphing! thanks :D

Answer 30

Sweet, good luck.

Answer 31

Hopefully I don't fail this one too! xD Go do your Calculus 3 work! :P