Question

how to solve log↓243 n = 4/5

Answer 1

do you mean\[\log_{243} n = 4/5\]
?

Answer 2

yes

Answer 3

think of the log function it's just means :
\[243^{\frac{4}{5}} =n\]

Answer 4

thanks, i forgot that step

Answer 5

I'm still lost

Answer 6

well \[243^{4/5}=81\]

Answer 7

how do we know n=81?

Answer 8

it's like saying \[\frac{243^4}{243^5}\]

Answer 9

we don't I just found it :)

Answer 10

hmm whoops no no it's not \[\frac{243^4}{243^5}\]

Answer 11

I'm so confused

Answer 12

well, you need to find n.
if \[\log_{a} n= c\]
then
\[a^c=n\]

so we have \[243^{4/5}=n\]

Answer 13

yes i understand that part

Answer 14

ok then \[243=3^5\]
so \[243^{\frac{4}{5}}=3^4=81\]

Answer 15

so you simplified 245 and got 3^4, so the fraction 4/5 is forgotten, and you just simply make 81 your answer?

Answer 16

yep!

Answer 17

lol thanks :)

Answer 18

n=81

Answer 19

thats what my answer key says also

Answer 20

seems likely :)