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lakkis [162]
3 years ago
14

How to use exponents instead of logs

Mathematics
2 answers:
padilas [110]3 years ago
5 0

x=2/3the answer is helpful for you

PSYCHO15rus [73]3 years ago
3 0

Answer:

Convert into same base

Step-by-step explanation:

Convert both sides into same bases and equate the powers to solve for the variable.

Example:

8^x = 32

You can either use logs to bring the power down or convert both sides into the same base

8 = 2³

8^x = (2³)^x = 2^(3x)

32 = 2⁵

2^(3x) = 2⁵

3x = 5

x = 5/3

x = 1⅔

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Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
noname [10]

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

6 0
3 years ago
Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no
Savatey [412]

Answer:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(16,4)  

Where \mu=16 and \sigma=4

We are interested on this probability

P(12

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(12

And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

5 0
3 years ago
Simplify the expression 5+(4+x)
photoshop1234 [79]
5 + 4x
I think that’s right
4 0
3 years ago
Read 2 more answers
Rewrite the equation by completing the square.
Dennis_Churaev [7]
Once you complete the square, the simplified version of this equation is

(2x - 1)^2= 0

If you want to solve for x, subtract 1 and divide by 2.

x = 0.5
7 0
3 years ago
Determlne the circumference of a circle with a radius of 8 meters.
ollegr [7]

Answer:

The first one

Step-by-step explanation:

answer = 50.2

6 0
3 years ago
Read 2 more answers
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