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kodGreya [7K]
2 years ago
14

I need the answer to the below question

Mathematics
1 answer:
kiruha [24]2 years ago
3 0
Send your snap I can help
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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

6 0
3 years ago
Help me I want to understand this finnall part
allochka39001 [22]
6.7 x  -2.3
You would multiply this just like any other multiplication question. 
There is some work of course, but I'm not going to write it out here...
You are going to end up with -15.41, which is already rounded to the nearest hundredth.

Hope this helped :)
4 0
3 years ago
Read 2 more answers
PLZ HELP ME I NEED THIS FAST
goblinko [34]
The answer is D :) II hope that this helps and if you need a bigger description I can help
7 0
3 years ago
Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st
snow_lady [41]
<span>In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90 where z is the z-score X is Vivian's score (940) µ is the mean (850) σ is the standard deviation (100) As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations. 
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18 </span>
4 0
3 years ago
A family of 12 went to the local Italian restaurant for dinner. Every family member ordered a drink and meal,3 ordered an appeti
egoroff_w [7]

Answer:

cost = 12 d + 12m + 3a + 6c

7 0
3 years ago
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