<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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