Answer:
Given below
Step-by-step explanation:
There are mainly 5 properties for a logrithm
They are
![1) log_{a} b+log_{a} c = log_{a} bc\\2) log_{a} b-log_{a} c = log_{a} \frac{b}{c} \\3) log_{a} b^{x} =xlog_{a} b\\4) log_{a} 1=0\\5)log_{a} a= 1](https://tex.z-dn.net/?f=1%29%20log_%7Ba%7D%20b%2Blog_%7Ba%7D%20c%20%3D%20log_%7Ba%7D%20bc%5C%5C2%29%20log_%7Ba%7D%20b-log_%7Ba%7D%20c%20%3D%20log_%7Ba%7D%20%5Cfrac%7Bb%7D%7Bc%7D%20%5C%5C3%29%20%20log_%7Ba%7D%20b%5E%7Bx%7D%20%3Dxlog_%7Ba%7D%20b%5C%5C4%29%20%20log_%7Ba%7D%201%3D0%5C%5C5%29log_%7Ba%7D%20a%3D%201)
these are the main properties of logrithm
Log of 1 to any base will always be 0
Log of a number to its own base is always 1
Sum of log of two numbers will equal log of product of those two numbers
DIfference of log of two numbes will equal log of division of I number by II number provided second not equal to 0
log is defined only for positive numbers
log of a number less than 1 would be negative.
What does the central limit theorem tell us about the
distribution of those mean ages?
<span>A. </span>Because n>30, the sampling
dist of the mean ages can be approximated by a normal dist with a mean u and a
SD o/sqrt 54,
Whenever n<span>>30 the central limit theory applies.</span>
Answer:
1:
×![2](https://tex.z-dn.net/?f=2)
2: ![y^6](https://tex.z-dn.net/?f=y%5E6)
Step-by-step explanation:
1:
Multiply the numbers: ![y(^3^*^2)](https://tex.z-dn.net/?f=y%28%5E3%5E%2A%5E2%29)
![3*2 = 6](https://tex.z-dn.net/?f=3%2A2%20%3D%206)
Write it without exponents:
so
.
2:
![(y^3)^2](https://tex.z-dn.net/?f=%28y%5E3%29%5E2)
Apply exponent rule :
assuming ![a\geq 0](https://tex.z-dn.net/?f=a%5Cgeq%200)
![(y^3)^2=y^3^*^2](https://tex.z-dn.net/?f=%28y%5E3%29%5E2%3Dy%5E3%5E%2A%5E2)
![=y^3^*^2](https://tex.z-dn.net/?f=%3Dy%5E3%5E%2A%5E2)
Multiply the numbers: ![3 * 2 = 6](https://tex.z-dn.net/?f=3%20%2A%202%20%3D%206)
![= y^6](https://tex.z-dn.net/?f=%3D%20y%5E6)
Hope I helped! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)