<span>Determine which one of the following is the correct application of the change of base formula?
a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9
The change of base formula is as follows:
log to the base 10 of x
log to the base b of x = ----------------------------------
log to the base 10 of b
Compare this to answer choice C:
</span><span>c)log8 3= log10 3/log10 8 Here x = 3 and b = 8. This is the only correct choice.</span><span>
</span>
2x^2 + 3xy - 4y^2 when x = 2 and y = -4
= 2(2)^2 + 3(2)(-4) - 4(-4)^2 = 2(4) + (-24) - 4(16) = 8 - 24 - 64 = -80
The answer is 135.5
123, 133, 138, 142
Organize the numbers in order from smallest to largest. There are two numbers in the middle so add those two and divide by two. 133+138=271÷2 is 135.5
Answer:
The population when t = 3 is 10.
Step-by-step explanation:
Suppose a certain population satisfies the logistic equation given by
with P(0)=1. We need to find the population when t=3.
Using variable separable method we get
Integrate both sides.
.... (1)
Using partial fraction
Using these values the equation (1) can be written as
On simplification we get
We have P(0)=1
Substitute t=0 and P=1 in above equation.
The required equation is
Multiply both sides by 10.
Reciprocal it
The population when t = 3 is
Using calculator,
Therefore, the population when t = 3 is 10.
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