Example...
4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
The answer is in the picture I’ll send u a link phs.dcsdk12.org the answer is in there good luck!
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = 
Derivative of the given function,
f'(x) = 
= ![(0.5)^x[\text{ln}(0.5)]](https://tex.z-dn.net/?f=%280.5%29%5Ex%5B%5Ctext%7Bln%7D%280.5%29%5D)
= 
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = 
f'(x) = 
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= 
Since derivative is positive, given function is increasing.
Option C. f(x) = 
f'(x) = 
= 
= 
Since derivative is negative, given function is decreasing.
Option D. f(x) = 
f'(x) = ![-15^{-x}[\text{ln}(15)]](https://tex.z-dn.net/?f=-15%5E%7B-x%7D%5B%5Ctext%7Bln%7D%2815%29%5D)
= 
Since derivative is negative, given function is decreasing.
Option (B) is the answer.
Answer:
-1.32-34.7= -36.02
Step-by-step explanation:
A negative minus a negative will always give you another negative.
So, to do this quickly just see this equation "-1.32-34.7" as this equation "1.32+34.7" and add a negative once you've finished.
1.32+34.7= 36.02
Now add the negative.
-36.02
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➷ Work out the time for Cardiff to Swansea:
time = distance/speed
Substitute in the values:
time = 69/60
Solve:
time = 1.15 hours = 69 minutes
Add together the total time and distance:
72 + 69 = 141
48 + 69 = 117
speed = distance/time
speed = 141/1.95
speed = 72.3 km/h
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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