Help with Log Properties

- brandonw998

Help with Log Properties

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- schrodinger

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- brandonw998

##### 1 Attachment

- 0487308

First, try to solve for a, and tell me what you get. If you need help, just ask.

- brandonw998

How do I set it up? I am totally confused on this one

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## More answers

- 0487308

Make a logarithmic graph with y-intercept 1.

- 0487308

The equation for the graph is y = 3^x.

- brandonw998

Alright I just input it in my calculator

- 0487308

Now look at where y is about 0.5. What do you have?

- brandonw998

The y-intercept?

- 0487308

Ignore what I said at first lol. a is about -0.631. Now solve the logarithms, substituting that for a.

- 0487308

Because \[\log_{a}3 \approx 0.5, 3^{a} =0.5,\] which is why we made that graph.

- brandonw998

When I input it in it says ERROR NONREAL ANSWERS

- 0487308

Sorry, I was solving it as an antilog. Really, \[a \approx 9\] because \[a ^{0.5} = 3\], so plug a as 9 into your calculator. Again, sorry :P

- 0487308

Remember to round your answers to the nearest 10th

- brandonw998

So the first one is .82?

- 0487308

Yes.

- 0487308

I meant round to the nearest 100th, sorry

- 0487308

So do you get it now?

- brandonw998

One sec almost done

- brandonw998

I think I put the wrong amount of decimal places

- brandonw998

Because the only one I got correct was the last one lol

- 0487308

lol

- 0487308

How do you know if you got something right or wrong?

- brandonw998

For some reason I got Part C wrong but the rest were right

- brandonw998

I have three chances to get the question correct, if I get it correct it turns green

- brandonw998

For Part C I got .95

- brandonw998

I don't understand why it's wrong

- 0487308

I'm pretty sure that that's right, because \[\log_{9} 8 = 0.94639463036\approx 0.95 \]

- brandonw998

Ugh it says the answer was .96 :(

- brandonw998

So I got all of them right except Part C

- brandonw998

Thanks for helping I really appreciate it

- brandonw998

Can you help with another one?

- 0487308

That's weird, you should talk to your teacher about that, and maybe he can correct or further explain...

- brandonw998

Do you know how to do this?

##### 1 Attachment

- 0487308

I'll try… I'm only in Algebra II...

- brandonw998

I couldn't even figure it out on Mathway, I thought you simply plug in the numbers but it doesn't work. Almost all the answers are regular numbers like 23, 8, etc.

- brandonw998

On my previous tries that's how I know what the answers will be like

- 0487308

For a, I got about 3.1543373037306295775285947507683823509222940831872816

- 0487308

I don't know what you have to round to, is it two digits again?

- 0487308

It's probably 3.15

- brandonw998

Some were whole numbers

- 0487308

Do you mean the actual answer, or the parts (like a^-4)

- brandonw998

The actual answer

- brandonw998

The answers are a)=10 b)=6

- 0487308

I haven't done all of them yet, but a isn't.

- brandonw998

c)=-0.20833333333333

- 0487308

I'll do c and see what I get.

- brandonw998

I went ahead and jumped to the answer to see if you were doing it correctly

- 0487308

Can you wait a sec, I need to finish my homework. I'll be back in about 5 minutes.

- brandonw998

Oh okay no problem

- brandonw998

I'm going to go eat, so take your time

- 0487308

okay

- 0487308

I'm back. I think that I did a wrong, so I'm doing it again right now.

- 0487308

I did a again, and I got 12.920558458320164071748303635625470295773499596979904

- 0487308

Rounded, that is obviously 12.92

- brandonw998

I'm back, sorry for taking so long

- brandonw998

Thanks for all your help man I really appreciate it!

- 0487308

No problem!

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