Step-by-step explanation:
the answer is in the above image
Answer:
log₁₀ (10¹²)
Step-by-step explanation:
First you should find the solution to the given equation
x-4=2³
x-4=8
x=8+4=12
Now observe the behavior of logarithmic equations with the base 10
log₁₀ 100=2
log₁₀ 10000=4
log₁₀ 1000000=6
To get the answer to
log₁₀ y=12
Then y=10¹².........................how?
check for the first case
log₁₀ 100=2 this can be written as
10²=100
This means to get y in log₁₀y=12 you should rise the base to power 12
y=10¹²
This is to say that
log₁₀ (10¹²) = 12
The answer is X=4.5 ......
Answer:
1 mi/hr
Step-by-step explanation:
Given that:
Speed in still water, s = 5 mi/hr
Let speed of current = x
Time = distance /speed
Upstream (subtract speed of current) = 5 - x
Upstream time = 8 / 5 - x - - - (1)
Downstream (add speed of current) = 5 + x
Downstream time = 12 / 5 + x - - - (2)
Equate (1) and (2)
8 / (5 - x) = 12/ (5 + x)
8(5 + x) = 12(5-x)
40 + 8x = 60 - 12x
40 - 60 = - 12x - 8x
-20 = - 20x
x = 1
Spwed of current = 1 mi/hr
