smurfy14
  • smurfy14
2log(base8)4-(1/3)log(base8)8=x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What number are both 8 and 4 a power of?
myininaya
  • myininaya
log(base8)4^2-log(base8)8^(1/3)=log(base8)[4^2/8^(1/3)]
anonymous
  • anonymous
Are you good now smurfy?

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smurfy14
  • smurfy14
sorry for late response i didnt see my new notifications! um i get what myininaya did but what would you do after that?
myininaya
  • myininaya
simplify!
myininaya
  • myininaya
=log(base8)[16/2] i will let you do the last step
myininaya
  • myininaya
or last two steps
smurfy14
  • smurfy14
so x=1 correct?
myininaya
  • myininaya
:) YES!
smurfy14
  • smurfy14
whoo thanks so much!
smurfy14
  • smurfy14
think you could help me with one more?
myininaya
  • myininaya
ok
smurfy14
  • smurfy14
2. Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letter of the alphabet, The second group of 10 tiles is #0-9. If Jamal draws one letter tile and one # tile at the random, what is the probability that he will draw a letter in his name and an odd number? A. (1/13) B. (5/52) C. (1/4) D. (7/26)
myininaya
  • myininaya
i got 17/26 :(
myininaya
  • myininaya
let me think about it
smurfy14
  • smurfy14
ok and ya all the answers tht i was getting werent on there either :P
myininaya
  • myininaya
i suck at probability, but give me a few and I will think
anonymous
  • anonymous
I get A
smurfy14
  • smurfy14
could u plz explain it to me?
myininaya
  • myininaya
did you P(AUB)=P(A)+P(B)-P(A and B)
anonymous
  • anonymous
No, I used the probability of two independent events is their product.
anonymous
  • anonymous
So how many ways can Jamal draw a letter that is in his name?
smurfy14
  • smurfy14
jaml
myininaya
  • myininaya
its independent events because A has nothing to do with B good thinking bond
anonymous
  • anonymous
right, so 4/26
smurfy14
  • smurfy14
someone explain how rhey got A!
myininaya
  • myininaya
dont worry about A
anonymous
  • anonymous
Now, how about the probability of pulling an odd tile?
smurfy14
  • smurfy14
1/10
myininaya
  • myininaya
how many odd numbers are between 0 and 9?
smurfy14
  • smurfy14
ohhhh ODD 5/10!
myininaya
  • myininaya
ok so since they are independent events you multiply the (5/10)(4/26)
smurfy14
  • smurfy14
ok see ididnt get it bc ithought it said 1/10 not 5/10 imissedthe odd part lol thanks!!
myininaya
  • myininaya
lol
smurfy14
  • smurfy14
one more q! 3^2x=7^(x-1)
anonymous
  • anonymous
Eeek, that doesn't look good...
smurfy14
  • smurfy14
hahaha
myininaya
  • myininaya
q! is read as q factorial?
myininaya
  • myininaya
jk lol i know you mean another question!
myininaya
  • myininaya
take the natural log of both sides
smurfy14
  • smurfy14
you mean get the decimal form of both? if so thats what i did but for some reason i came out with a negative # :(
myininaya
  • myininaya
ln3^(2x)=ln7^(x-1)
myininaya
  • myininaya
2xln3=(x-1)ln7
myininaya
  • myininaya
2xln3=xln7-ln7
myininaya
  • myininaya
2xln3-xln7=-ln7
myininaya
  • myininaya
x(2ln3-ln7)=-ln7
myininaya
  • myininaya
x=-ln7/(2ln3-ln7)
myininaya
  • myininaya
x=-ln7/(ln8-ln7)
myininaya
  • myininaya
x=-ln7/(ln(8/7))
smurfy14
  • smurfy14
ok i see so b4 i write the work does the answer comeout positive?
myininaya
  • myininaya
you have a negative in front of it so its negative
smurfy14
  • smurfy14
ok so were allowed to have a negative as the answer?
myininaya
  • myininaya
ln(negative)=does not exist ln(0) does not exist -lna exist if a>0
smurfy14
  • smurfy14
so the answer is?
myininaya
  • myininaya
the answer to?
myininaya
  • myininaya
are we still talking about the previous solution?
smurfy14
  • smurfy14
ya the one with the negative
myininaya
  • myininaya
so you are saying its not a solution? why do you say that?
smurfy14
  • smurfy14
what? i just want to know what you got for the answer lol
myininaya
  • myininaya
we can check it to see
smurfy14
  • smurfy14
youre confusing me
myininaya
  • myininaya
you want to know if it is a solution. if you ever have doubt about something, check it
smurfy14
  • smurfy14
no i dont want to know if it is a solution i just want to know the answer lol so would the answer be "no solution"?
myininaya
  • myininaya
give me just sec and i will check k??
myininaya
  • myininaya
it is a solution if i did each step correctly
smurfy14
  • smurfy14
so the final answer is....?
smurfy14
  • smurfy14
you know like x=?
myininaya
  • myininaya
i can scroll back up and look just sec
myininaya
  • myininaya
it says x=-ln(7)/(ln(8/7))
smurfy14
  • smurfy14
so if you put that in your calc what is the number? (sorry i dont have a good calc with me)
myininaya
  • myininaya
> evalf(solve(3^(2*x) = 7^(x-1))); -7.742930467 >
smurfy14
  • smurfy14
ok thanks!
myininaya
  • myininaya
smurfy it is not easy to check the solution, but it is the solution because exponential functions are continuous everywhere
myininaya
  • myininaya
but logarithmic functions are not continuous everywhere log(baseb)x=lnx/lnb so whenever the base is 1 or negative or 0 and whenever x is negative or 0, the the function is undefined

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