Answer:
Step-by-step explanation:
Answer:
![x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]](https://tex.z-dn.net/?f=x%3D%28243%29log_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D)
Step-by-step explanation:
you have the following formula:
To solve this equation you use the following properties:
Thne, by using this propwerty in the equation (1) you obtain for x
![log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]](https://tex.z-dn.net/?f=log_%7B%28%5Cfrac%7B1%7D%7B81%7D%29%7D%28%5Cfrac%7B1%7D%7B81%7D%29%5E%7B%5Cfrac%7Bx%7D%7B243%7D%7D%3Dlog_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B243%7D%3Dlog_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D%5C%5C%5C%5Cx%3D%28243%29log_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D)
Answer:
5x+10
Step-by-step explanation:
Hope this helps!!! :))
X^2 = 7^2 + 24^2x^2 =49 + 576x^2 = 625
x = 25
Answer:
a) 96 = 3.57√h
b) h ≈ 723.11 m
Step-by-step explanation:
<h3>a)</h3>
The equation you want to solve is the model with the given values filled in.
D(h) = 3.57√h . . . . model
96 = 3.57√h . . . . . equation for seeing 96 km to the horizon
__
<h3>b)</h3>
We solve this equation by dividing by the coefficient of the root, then squaring both sides.
96/3.57 = √h
h ≈ 26.891² ≈ 723.11 . . . . meters above sea level
Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.
