Question

Can someone help me with this?

Answer 1

Since this has an easy to find answer, it can be done in your head.
We can start with choosing integer values of x
(1/3)^0 = 1
(1/3)^1 = 1/3
(1/3)^2 = 1/9
So x = 2

If the question were something like
(1/3)^x = 1 / 8.731
The answer would be more complex.

Answer 2

That's what I thought it was.

Answer 3

Yes. If you would like to see it done algebraically I can show you.

Answer 4

Could you help me with this one?

Answer 5

GEEZ - that's a teeny bit tougher than the previous answer.
But I'll attempt it.

Answer 6

Haha, I'm not sure how to do it.

Answer 7

Let's start with something we DO know
The base 10 log of 2 is 0.30102999566
(Here's a handy logarithm calculator - I wrote it
http://1728.org/logrithm.htm

This means that 10 ^ 0.30102999566 =2

Answer 8

Okay..

Answer 9

So the base 36 log of x = 3/2 or 1.5
This means that 36^1.5 = x
We could easily look up (in the calculator) the base 36 anti-log of 1.5 and see it equals
216
but we could also calculate it
36^1.5 means take the number 36 and cube it then take its square root
36^1.5 = sq Root (36^3)
36^1.5 = sq Root (46,656)
sq Root 46,656 = 216

Answer 10

So the answer is 216?

Answer 11

Yes it sure is - based on the calculator and the sq root (36^3) calculation

Answer 12

There is a much easier way for all of these.
Use this: \[\log_{a} x=y \rightarrow a^y=x\]

Answer 13

?

Answer 14

If the base 9 log of x = 2
Then 9^x = 81
and x =2
If x weren't an integer it would be a bit tougher to solve.

Answer 15

the wolf has conquered

Answer 16

Haha, so the answer is 3/2?

Answer 17

thanks dan815
Rather than speak
logax=y→ay=x
I like to put answers in plain English so at least people can see what is going on, and see what is actually occurring.

Answer 18

No the answer is 2

Answer 19

Even though it just =s 2?

Answer 20

he means 81

Answer 21

what that other just was trying to say is that
since log base 9 of X = 2, that means 9^2=x=81

Answer 22

GEEZ there's so many numbers, questions and answers I look ed at the wrong place.
thanks dan

Answer 23

but this is fine too the way you are doing it

Answer 24

Ohhh so the answer is 81 makes more since haha.

Answer 25

Thanks dan - I like to keep it expressed in plain English
Think I'll delete a few of my posts directed to Mr Science

Answer 26

You make a lot of since wolf haha.

Answer 27

i hope you know its sense!

Answer 28

and thats coming from me the worst speller on os

Answer 29

Oops sorry I was typing to fast haha.

Answer 30

Thanks Bamby
and remember if you are unsure of an answer just go back and "plug the answer" into the question to see if it calculates correctly.

Answer 31

I'm guessing you are posting another problem? (Because the last one you posted was a repeat of another one)

Answer 32

This one is new..

Answer 33

log (9) x = 3/2 or
log (9) x = 1.5

Then 9^1.5 = x

9^1.5 = sqrt(9^3)
=sqrt(729)
= 27