Question

How can I solve this without using calculator?
x=(10^-2.88)²/0.1

Answer 1

Need help?

Answer 2

Yes, please.

Answer 3

Did you right the question wrong tho?

Answer 4

did I write the question wrong? No. It's right...

Answer 5

Just double check

Answer 6

ok!

Answer 7

If it's 10^-2.88

Answer 8

I came this far: x=10^-4,76. But I need to get to 1,7x10^-5

Answer 9

Can you screenshot it? :)

Answer 10

Just a sec

Answer 11

you can write -4.76 as -5+.24
(in sorry I can't bring myself to use a comma for the decimal point for some reason but I know what you mean by the comma )

so you will need to show 10^(.24) is approximately 1.7

Answer 12

Oh, @freckles that's alright...my mistake. In my country we use comma for the decimal...I forgot to change

Answer 13

yea i know it is like that in some countries :p
it is cool

Answer 14

@freckles how can I show that?

Answer 15

First thing is first, by PEMDAS, 10^-2.88 is 1/(10^2.88) is 1/(10^2^(1.44)) is one way to look at it..
The other way is 1/(10^2.88) is 1/(10^2*10^.88) either way you need to have good knowledge of the graph of y=10^x or log base 10 of .88 or 1.44

Answer 16

@daniel.ohearn1 so I can't solve this without a graph or calculator?

Answer 17

You can but it's tricky. log base 10 of 1.44 is ln(1.44) / ln(10) somewhere you need to be like okay, I give a good estimate of this value just using my mind.

Answer 18

@daniel.ohearn1 well, thanks. It's part of a question about ionic equilibrium, so... I think I'm gonna use calculator. Thank you.

Answer 19

if you can answer what power must e be taken to get 1.44