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melomori [17]
3 years ago
8

Evaluate the log without a calculator ( Show your work )

mula1" title="log_{81} 27" alt="log_{81} 27" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
mamaluj [8]3 years ago
5 0

Answer:

3/4 ( or 0.75).

Step-by-step explanation:

let y = log81 27, then:

27 = 81^y     ( by the definition of a logarithm).

27 = 3^3 and 81 = 3^4

So 27 =  81 ^3/4

so y = log81 27 = = 3/4.

OLEGan [10]3 years ago
4 0

Answer:

\log_{81}(27)=\frac{3}{4}

Step-by-step explanation:

The given logarithm is

\log_{81}(27)

Let us change to base 3.

\log_{81}(27)=\frac{\log_3(27)}{\log_3(81)}

\log_{81}(27)=\frac{\log_3(3^3)}{\log_3(3^4)}

\log_{81}(27)=\frac{3\log_3(3)}{4\log_3(3)}

\log_{81}(27)=\frac{3(1)}{4(1)}

\log_{81}(27)=\frac{3}{4}

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A veterinarian investigating possible causes of enteroliths in horses suspects that feeding alfalfa may be to blame. She wishes
Ghella [55]

Answer: b. (0.561, 0.794).

Step-by-step explanation:

We know that the confidence interval for population proportion (p) is given by:-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}= Sample proportion.

n = Sample size.

z*  = Critical z-value.

Let p = proportion of horses with enteroliths who are fed at least two flakes of alfalfa per day.

As per given ,  n = 62

\hat{p}=\dfrac{42}{62}=0.67742

z-value for 95% confidence = z*=1.96

A 95% confidence interval is given by:

0.67742\pm (1.96)\sqrt{\dfrac{0.67742(1-0.67742)}{62}}\\\\ =0.67742\pm 0.11636\\\\ =(0.67742-0.11636,0.67742+0.11636 )\\\\=(0.56106, 0.79378)\approx(0.561,0.794 )

Thus , the required 95% confidence interval is (0.561, 0.794).

Hence, the correct option is b. (0.561, 0.794)..

4 0
3 years ago
Write the first five terms of the arithmetic sequence.
hjlf

Answer:

a1 = 4

a2= -2

a3 = -8

a4= -14

a5= -20

Step-by-step explanation:

a12= a1 + 11d

-62 = 4 + 11d

-62-4 = 11d

-66= 11d

d = \frac{-66}{11}\\

  = -6

a1 = 4

a2 = 4 - 6 = -2

a3 = 4 - (6×2) = -8

a4 = 4 - (6×3) = -14

a5 = 4 - (6×4) = -20

7 0
3 years ago
What is the excluded value of x for x^2+3x+2/x^2x+1
Butoxors [25]

Answer:

x=-1

Step-by-step explanation:

factoring we get


(x + 2)(x + 1) / (x + 1)(x + 1)


The excluded value is x = -1

8 0
3 years ago
Select each inequality that 0 is a solution to. Q No. 2
PtichkaEL [24]

Answer:

Can you reformat?

So far, 0 is a solution to none of these.

3 0
4 years ago
Read 2 more answers
If 40% of x is 30, then what percent of 50 is x?
lisov135 [29]

Answer:

I think 37.5

Step-by-step explanation:

I think 37.5 because 40% of x=75 is 30, and 50% of 75 is 37.5, I suppose!

SORRY IF WRONG ;c

(Edit) wAIT tHE AaNSWER HAS TO BE A PERCENTAGE?

Well then idk

8 0
3 years ago
Read 2 more answers
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