Answer:4
Step-by-step explanation:
log₂[log₂(√4x)] = 1
log₂2 =1
So we replace our 1 with log₂2
log₂[log₂(√4x)] = log₂2
log₂ on bothside will cancel each other.
We will be left with;
[log₂(√4x)] = 2
log = power of exponential
√4x = 2²
√4x = 4
Square bothside
(√4x)² = 4²
4X = 16
Divide bothside by 4
4x/4 = 16/4
x = 4
Answer:
60 km/h
Step-by-step explanation:
Let us use the x to represent the speed of the car since it is the smaller value.
Then, the distance covered by the car is 4x since was going 4 kph.
The distance covered by the train is (x+5) times 7 or 7x+35.
We know that the total distance covered is 640 km.
Using this information, we can set up the equation 4x+7x+35=640.
By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.
After this, we divide both sides by 11 and get x=55.
Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.
Train=60 km/h
Answer:
Step-by-step explanation:
R = 9x + 8y
4 = 9x + 8*8
4 = 9x + 64
Subtract 64 from both sides
4 - 64 = 9x + 64 - 64
-60 = 9x
Divide both sides by 9
-60/9 = 9x/9
-20/3 = x
x = -6 2/3
It's already in the simplest form.