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3 years ago

How to solve a log equation with variable in the exponent?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Example...

4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)

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The sum of three consecutive integers is -96. What is the largest integer?

kupik [55]

-33 2/3
dsanndsvnnvlkjsdkvnsdkjlfnjndsfjkjdslfjsdkfkjlhldskjfbsdlkjfkjbvbjkdbfjbnjdsbfjbfd
I had to add more

5 0

2 years ago

What is 17.4% of 8350

rusak2 [61]

Answer:

Step-by-step explanation:

17.4% of 8350 equals 1452.9 or 14529/10

Hope this helps! <3

3 0

2 years ago

Help me please I’ll give brainliest

Lady bird [3.3K]

Answer:

x=124

Step-by-step explanation:

Hope this helps

the whole is 180

180-48 is 132

132-8 = 124

4 0

2 years ago

Read 2 more answers

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago

Find the value in 3 of 6035 ?

Katena32 [7]

The 3 is in the tens place.

3*10=30

Final answer: The value of the 3 is 30 since it is in the tens place.

6 0

2 years ago