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s344n2d4d5 [400]
2 years ago
11

Write -5 as a logarithim with a base of 4

Mathematics
2 answers:
likoan [24]2 years ago
4 0

Answer:

log_4(\frac{1}{4^5})   = -5

Step-by-step explanation:

log_b(a) = c ↔ b^c = a

You are given b = 4

You re also given c = -5

To find a, use the exponential form:

b^c = a

= (4)^{-5} = \frac{1}{4^5} = a

Then you can convert into a logarithm.

log_4(\frac{1}{4^5})   = -5

Sonja [21]2 years ago
3 0

Answer:

There are multiple ways of writing this:

\sf  -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)

Step-by-step explanation:

Log rule:  \sf log_a(a)=1

\sf \implies log_4(4)=1

\sf \implies -5log_4(4)=-5

Log rule:  \sf c \cdot log_ab=log_a(b^c)

\sf \implies -5log_4(4)=log_4(4^{-5})

                       \sf = log_4\left(\dfrac{1}{4^5}\right)

                       \sf = log_4\left(\dfrac{1}{1024}\right)

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The correct option is;

The situation shows correlation without causation

Step-by-step explanation:

The given data are;

Weight y     {}            Miles Per Gallon

42     {}                           18

36     {}                           12

30     {}                            6

.     {}                                x

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The first difference of the data = 42 - 36 = 36  - 30 = 30 - 24 = 6

18 - 12 = 12 - 6 = 6 - 0 = 6

The first difference of the data is constant and equal to 6

Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;

The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;

(42 - 24)/(18 - 0) = 1

Therefore, the points of the data fit into the straight line and the data of the situation shows correlation

In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.

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Answer:

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Step-by-step explanation:

In this question, you are combining like terms, meaning doing equations to numbers that fit with only each other.

<u>So we should start on the number without variables:</u>

23 and 27

<u>Match them up together and you should find your first equation:</u>

23 - 7

==> -4

So we should have  -4  +  8m  +  4n  -  5m

Now we should combine the numbers with the variable of m:

8m and 5m

<u>Match them up together and you should find your first equation:</u>

<u></u>

8m - 5m

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So we should now have -4  + 3m  + 4n

<u></u>

<u>Since there are no other variables of n, we are all done:</u>

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