The logarithmic function when the temperature is 64 degrees is given as
ln f(x) = x ln 2.
<h3>
What is a logarithmic function?</h3>
A logarithmic function is the inverse of an exponential function. It is to be noted that all exponential functions can be written as logarithmic functions.
Hence, to convert the mathematical statement above into a logarithmic function we say:
f(x) = 2ˣ
ln f(x) = ln 2ˣ
ln f(x) = x ln 2
Ln 64 = x Ln 2
Let f(x) = 64;
Hence,
Ln 64 = x ln 2
Divide both sides by ln 2 to get x
ln 64/ln 2 = x
Hence,
x = ln 64/ln 2
= 6
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Answer:
11 or 18 either one if im wrong sorry
Step-by-step explanation:
Answer:
0.1>0.01 0.2>0.03 0.12>0.21 0.13> 0.031
hope it right
We have that The height changing rate when the length of the base is 2 cm

From the question we are told
The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is the height changing when the length of the base is 2 cm?
Generally the Pythagoras equation for the triangle is mathematically given
as

With r=3
Therefore
dx/dt=8cm/s
Hence

We have

Therefore
The height changing rate when the length of the base is 2 cm

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