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drek231 [11]
3 years ago
5

X is less than 1/4 of two dozen

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer: 7

Step-by-step explanation:

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

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3 years ago
Dune Plant
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Step-by-step explanation:

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I need help with someone explaining how to find the range of this! This course didn’t explain anything!
zaharov [31]

Answer:

(-infinity,3), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with h(x)=2x+1 if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is (-infinity,3), which is D.

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Step-by-step explanation:

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