Asked by a
1. Given log2(m) = x, log4(n) = y
What is mn?
2. Given log5(m) = x, log√5(n) = y
What is mn?
3. Given log2(m^2) = x, log8(√n) = y
What is mn?
What is mn?
2. Given log5(m) = x, log√5(n) = y
What is mn?
3. Given log2(m^2) = x, log8(√n) = y
What is mn?
Answers
Answered by
oobleck
m = 2^x
n = 4^y = 2^(2y)
mn = 2^(x+2y)
do the others in like wise, using the properties of logs and exponents.
Come back with your work if you get stuck.
n = 4^y = 2^(2y)
mn = 2^(x+2y)
do the others in like wise, using the properties of logs and exponents.
Come back with your work if you get stuck.
Answered by
mathhelper
I'll do #2, you do the rest the same way:
log<sub>5 </sub> m = x <-----> 5^x = m
log<sub>√5 </sub> n = y <-----> √5^y = n
mn = 5^x * (√5)^y
= (√5)^(2x) * √5^y
= (√5)^(2x+y)
log<sub>5 </sub> m = x <-----> 5^x = m
log<sub>√5 </sub> n = y <-----> √5^y = n
mn = 5^x * (√5)^y
= (√5)^(2x) * √5^y
= (√5)^(2x+y)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.