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/sci/ - Science & Math

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4283704 No.4283704 [Reply] [Original]

How can I solve this without a calculator and with limited time?

"which is the largest, 2^400 or 5^150?"

Is there a way to give them the same base?

Would appreciate help with this, I would imagine it's pretty easy for you guys.

>> No.4283710

Bump, need help with this still.

>> No.4283711

Learn to logarithms.

>> No.4283716

>>4283711
I know the logarithms, although I would need a calculator to work with them. How do I do it without one?

>> No.4283717

normally, you'd use logarithms but this problem is pretty obvious.


Just ask yourself, what's bigger, 2*2 repeated 400 times or 5*5 repeated 150 times?

>> No.4283719

Logic. Basic number theory.

2^400 is larger, look at how many times it multiplies itself. 5 is a larger base, but its exponent is tiny compared to 2's exponent. In the end, considering how exponential functions work, the larger exponent will win.

>> No.4283724

>>4283716
Are you saying you don't even know the natural log of the first ten numbers by memory?

>> No.4283727

>>4283717

scratch that I don't want you to think of it as (2*2)*(400) vs (5*5)*(15) because that's totally wrong

if the exponent is much greater, it doesn't matter how big the other numbers are. Since 400>>150 (400 is much greater than 150), it doesn't matter if 5>2

>> No.4283734

>>4283711
>>4283719
>>4283724

typical /sci/, useless and condescending.

>"Hurr durr everyone should learn more! Education is empowering and great!"
>"LOL YOU WANT help??? with EASY MATH LOL FAGGOT GTFO"

>> No.4283735

>>4283717
Well, in any kind of case...

let's say 2^345 in comparison to 5^150

>>4283719
Not very helpful IMO, considering that when x=348.29 is when the 2^x starts getting bigger than the 5^150.

>> No.4283737

>>4283724
That's what I'm saying.

>> No.4283740

>>4283737
Then go ahead and learn them.

>> No.4283741

>>4283740
Surely there must be another way to attack this problem?

>> No.4283743

>>4283734

Useless? Condescending? I gave him the answer and I explained in a rational, logical manner so that, if faced with another similar situation, he could figure it out using that though process. Sorry I didn't give him a fucking cookie and post smiley faces and hearts.

>tl;dr I know I'm getting trolled, but still, get the fuck out

>> No.4283751

>>4283735

This is a high school level mathematics contest question, like those you see on the AMC10 or 12. The answer is going to be obvious because the question is obvious. They don't expect you to memorize logarithms, so there's not going to be such ambiguity. If they start giving questions such as the one you are proposing, then (as many have said here before), you will know how to do it. Otherwise, don't go solving questions you're not asked.

>> No.4283755

take 50th root of each side
compare 2^8 and 5^3 (256 ash 125)
???
profit

>> No.4283759

>>4283755
That's the kind of simple, yet very helpful answer I was looking for. Thank you very much!

>> No.4283775

>Aquila

Tripfags everywhere
Piracy destroyed
Only friend has now a girlfriend

Only question that remains is whether I use a gun or suicide bag.

>> No.4283787

>>4283734
If you came to 4chan for help, I have bad news for you.

Might as well fuck off back to Yahoo Answers.

>WAH THEY AREN'T HELPING ME I WILL CALL THE POLICE
Who said we have the obligation to help you, retard?

>> No.4283818

>>4283787
This wasn't OP's post. Considered that possibility?