Question

How do I solve this?

Answer 1

\[\huge 3^{b}=7\]

Answer 2

3 times wat = 7 it will b a decimal

Answer 3

6.1

Answer 4

Study

Answer 5

im acally not sure

Answer 6

NEVER EVER

Answer 7

Give the direct answer

Answer 8

now that i think about it it is 6.1

Answer 9

No no it's definitely 6.1. I know it. I know because I solved the math out.

Answer 10

you have to make use of logarithms here.

Answer 11

Take Logs both the sides, take Log to the base 10, generally we take this.. If the base is 10, then need not to mention it..

Answer 12

\[\log(3)^b = \log(7)\]

Answer 13

See, I have not mention base there, so it is understood as 10, okay??

Answer 14

Okay. Now what do I do next?

Answer 15

\[\log(a)^n = n \cdot \log(a)\]

Answer 16

Power comes down in multiplication, getting?

Answer 17

If getting, then make use of it there..

Answer 18

Wait who are you talking to? Me or someone invisisble?

Answer 19

*invisible

Answer 20

He or she knows.. Why you care??

Answer 21

No offense though . . .

Answer 22

Is it supposed to be \[\log(a)^n = n \cdot \log(a)\] or
\[\log(a)^n = n \cdot \log(b)\]

Answer 23

That was just the formula I gave..

Answer 24

The formula says :
\[\log(a)^n = n \cdot \log(a)\]

Answer 25

\(a=3\) and \(n=b\)..

Answer 26

\[\log(\color{red}{3})^{\color{blue}{b}} = \log(7) \\ \implies \color{blue}{b} \cdot \log(\color{red}{3}) = \log(7)\]

Answer 27

getting this?

Answer 28

No idea what the heck you're talking about. Really.

Answer 29

Is your computer okay?? @ComicPicLoyalty

Answer 30

Yeah. Why?

Answer 31

Is YOURS okay @waterineyes ?

Answer 32

@ComicPicLoyalty can't you see that Rosedryer has asked this question?

Answer 33

RoseDryer asked this same question? I don't believe you.

Answer 34

And may I ask what RoseDryer asked?

Answer 35

Look above, you will get it..

Answer 36

So we have
\[\log(\color{red}{3})^{\color{blue}{b}} = \log(7) \\ \implies \color{blue}{b} \cdot \log(\color{red}{3}) = \log(7)\]
Sorry for late reply. Baby was crying.

Answer 37

Do you have calculator with you?

Answer 38

Oh my God who are you talking to? You're confusing me! Ugh.

. . . you makin things so difficult (ew ew) lookin at her hair hair hair (ew ew ew) i don't like her hair at all because she things she gets them fall she makes herself fall on the ground and then everyone is laughing at her . . .

Hey Red carpet, you can shake it out of my pocket . . . i don't wanna be obnoxious but she looks like she from Gothic . . .

Answer 39

Divide by \(\log(3)\) both the sides:

\[b = \frac{\log(7)}{\log(3)}\]..

Answer 40

http://web2.0calc.com/

Answer 41

Calculate \(\log(7)\) and \(\log(3)\) with that calculator. And then divide them, you will get the value of \(b\)..

Answer 42

Sorry openstudy is lagging bag. Nothing was popping up Oh okay thank you!

Answer 43

I got b = 1.77124374916

Answer 44

bad*

Answer 45

Yeah that is right..