Answer:
The value of x is about 2.206.
Step-by-step explanation:
Consider the given equation is

We need to find the value of x.
Using the properties of logarithm we get
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln 1=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%201%3D0%5D)
On comparing both sides we get
Using graphing calculator, the real solution of the above equation is

Therefore, the value of x is about 2.206.
Answer:
the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)
Step-by-step explanation:
The dilation factor multiplies each coordinate value when the center is the origin.
__
(8, 6) ⇒ 1.5(8, 6) = (12, 9)
(4, 6) ⇒ 1.5(4, 6) = (6, 9)
(8, -4) ⇒ 1.5(8, -4) = (12, -6)
(4, -4) ⇒ 1.5(4, -4) = (6, -6)
Answer:
28 members
Step-by-step explanation:
First find 65% of 80 by multiplying 80 by 0.65
80 * 0.65 = 52
Now find how many members are left by subtracting
80 - 52 = 28