Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is 
, and the length at 8 pascals is 3 units
<h3>How to determine the
logarithmic function</h3>
The exponential function is given as:
Express f(x) as y
Swap the positions of x and y
Take the logarithm of both sides
Apply the rule of logarithm
Divide both sides by log(2)
Apply the change of base rule of logarithm
When the strength is 8 pascals, we have:
Express 8 as 2^3
So, we have:
Evaluate log 2 base 2
Hence, the logarithmic function is , and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
brainly.com/question/11464095
Answer:
$7,865,000 + (Claire's cases)
Step-by-step explanation:
Euro 2,500,000 x 1.13 = $2825000
£4,000,000 x 1.26 = $5040000
$5040000 + $2825000 = $7865000
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
