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Rufina [12.5K]
2 years ago
13

Can someone help me solve this logarithm function

Mathematics
1 answer:
MrRa [10]2 years ago
5 0

Answer:

\boxed{\sf{x=\dfrac{25}{2}=12.5}}

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

<h3>log x + log8=2</h3>

\sf{\log _{10}(x)+\log _{10}(8)=2}

<u>First, subtract by log₁₀(8) from both sides.</u>

\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}

<u>Solve.</u>

\sf{\log _{10}(x)=2-\log _{10}(8)}

\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}

  • <u>Therefore, the correct answer is x=25/2=12.5.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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What 2/5×3/7 but, once you get an answer make sure you simplified​
vagabundo [1.1K]

Answer:

6/35

Step-by-step explanation:

\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}

3 0
3 years ago
A bowl has only red, green, and purple grapes. The probability of picking a red grape out of the bowl, eating it, and then picki
Xelga [282]

The probability of picking a green grape is 1/2.

<h3>What is probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .

The probability of green grape will be the division. This will be:

= P(R and G) / P(R)

= 1/8 ÷ 1/4

= 1/8 × 4/1

= 1/2

The probability is 1/2.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

8 0
1 year ago
I NEED THIS ANSWER A S A P
borishaifa [10]

Answer:

C.

Step-by-step explanation:

if wrong then pls contact me in the comment section

7 0
3 years ago
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Write a linear equation for the graph in point-slope form. Show your work. (2 points)
Eva8 [605]

Answer:

34 x 6.45 because if you look at the numbers then u will find this

4 0
3 years ago
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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe
Stolb23 [73]

Answer:

Step-by-step explanation:

The model N (t), the number of planets found up to time t, as a Poisson process. So, the N (t) has distribution of Poison distribution with parameter (\lambda t)

a)

The mean for a month is, \lambda = \frac{1}{3} per month

E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8

(Here. t = 24)

For Poisson process mean and variance are same,

Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8

 

(Poisson distribution mean and variance equal)

 

The standard deviation of the number of planets is,

\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828

b)

For the Poisson process the intervals between events(finding a new planet) have  independent  exponential  distribution with parameter \lambda. The  sum  of K of these  independent exponential has distribution Gamma (K, \lambda).

From the given information, k = 6 and \lambda =\frac{1}{3}

Calculate the expected value.

E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18

(Here, \alpha =k and \beta=\lambda)                                                                      

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г  (k)λ^k)(x)^(k-1).(e)^(-x/λ)

=\frac{1}{Г  (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%

Hence, the required probability is 0.2149 or 21.49%

5 0
3 years ago
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