Question

Help plz!

2^x • 5^X=10^20 WHAT IS X ?

Answer 1

help meh

Answer 2

how can you bring the exponent down?

Answer 3

divide ?

Answer 4

i wouldn't bring it down
\[2^x\times 5^x=(2\times 5)^x=10^x\]

Answer 5

no, you can't divide, but satellite's was my second step

Answer 6

ok ?

Answer 7

so you have
\[10^x=10^{20}\] and so \(x\) should be easy enough to find

Answer 8

May approach wasn't nearly that simple. Nice catch @satellite73

Answer 9

wait why from 10^20 turn into 20^x ?

Answer 10

ohh

Answer 11

nevermind got it !

Answer 12

there is no \(20^x\) in the question
the left hand side of the equal sign is \(10^x\) and the right hand side is \(10^{20}\)

Answer 13

That was sat's steps

Answer 14

Do you see what he did?

Answer 15

yep

Answer 16

whoops wait a sec

Answer 17

\[2^x×5^x=10^{20}\]

\[(2×5)^x=10^{20}\]

\[10^x=10^{20}\]

Answer 18

don't you cross 10 out becuase they are the same ?

Answer 19

so it would be x = 20

Answer 20

no, not exactly

Answer 21

yes x=20 but you can't just cross out the 10

Answer 22

ok thanks anyway

Answer 23

You use logarithms