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Mathematics 20 Online
OpenStudy (zion):

solve log sub 8 [ log sub 4 (log sub 2 16)]=0 what are the solutions?

OpenStudy (akshay_budhkar):

i believe there is no variable?

OpenStudy (akshay_budhkar):

Zion? What is this? solutions of what?

OpenStudy (zion):

i mean how are you going to solve this one? some equations.

OpenStudy (akshay_budhkar):

equations have variables like x and y.. then you solve to find the solutions of x and y

OpenStudy (akshay_budhkar):

say for eg log base 10(x)=1 haas a solution x=10..

OpenStudy (akshay_budhkar):

\[\log_{10}x=1 \]

OpenStudy (anonymous):

it is an identity! damn! log sub8 (1) = 0

OpenStudy (akshay_budhkar):

i believe sub mans base?

OpenStudy (akshay_budhkar):

yes it is log of 1 is 0

OpenStudy (akshay_budhkar):

because anything raised to 0 is 1

OpenStudy (anonymous):

right. a way of writing it, sub comes from subscript.. a notation to say something is written below ordinary script. :D

OpenStudy (zion):

so how is log sub 4 (log sub 2 16)?

OpenStudy (akshay_budhkar):

do you know log sub 2 16=4?

OpenStudy (akshay_budhkar):

Zion?

OpenStudy (anonymous):

Zion, what you've written is a fact. Nothing to figure out about it.

OpenStudy (zion):

yeah, but i dont know how to solve it so im asking the steps :)

OpenStudy (akshay_budhkar):

do you know log sub 2 16=4?

OpenStudy (akshay_budhkar):

well zion!!!>>>??? log sub 2 16= log sub 2 2^4=4log sub 2 2=4

OpenStudy (anonymous):

do the brackets. solve whats inside each bracket and work outwards!

OpenStudy (zion):

another one : \[\log_{8}X=8 \] and \[\log_{8}Y=9 \] ... what is \[\log_{Y}X=?\]

OpenStudy (akshay_budhkar):

do you know the property log sub b a= (log a)/log b to any sub?

OpenStudy (zion):

sadly, no. coz i suck in math! especially algebra and calculus. hahaha

OpenStudy (akshay_budhkar):

well remember it then.. hehe..its important.. now you can solve the question I believe!

OpenStudy (zion):

i cant. hahahaha

OpenStudy (zion):

its 8/9?

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