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3 years ago

What is log5(4*7)+log5^2 as a single log?

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

6 0

Answer with explanation:

The four options are

(A) log5 21 (B) log5 26 (C) log5 30 (D) log5 56

$\rightarrow\log_{5}(4\times 7) +\log_{5}(2)\\\\ \rightarrow \log_{5}28+\log_{5}2\\\\\rightarrow \log_{5}(28 \times 2)\\\\=\log_{5}(56)\\\\ \text{Used this property of log}\\\\ \log_{m} a+\log_{m} b=\log_{m} ab$

Option D

Darina [25.2K]3 years ago

4 0

<span>log5(4*7)+log5^2=log5*28*25=log3500
It would be better if you sent a photo task
I'm not sure what I understood correctly
</span>

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..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many stud

zysi [14]

Answer:

Number of student bring their lunch = 60

Step-by-step explanation:

Given:

Total number of student = 600

Student bring their lunch = 10%

Find:

Number of student bring their lunch

Computation:

Number of student bring their lunch = Total number of student x Student bring their lunch

Number of student bring their lunch = 600 x 10%

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2 years ago

Please help, summer depends on it.

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Answer:

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3 years ago

Read 2 more answers

Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to

dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

$1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s$

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

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2 years ago

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.<br> Who runs faster?

kenny6666 [7]

Answer:

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Your answer should be:

Maura runs faster.

Step-by-step explanation:

I hope this helped!

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3 years ago

An individual is planning a trip to a baseball game for 16 people. Of the people planning to go to the baseball game, 8 can go o

Sedaia [141]

Answer: There are 4 people who only go to the game on Saturday.

Step-by-step explanation:

Let the number of people go on Saturday be n(A).

Let the number of people go on Sunday be n(B).

Since we have given that

n(A) = 8

n(B) = 12

n(A∪B) = 16

According to rules, we get that

$n(A)+n(B)-n(A\cap B)=n(A\cup B)\\\\8+12-n(A\cap B)=16\\\\20-n(A\cap B)=16\\\\n(A\cap B)=20-16=4$

So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4

Hence, there are 4 people who only go to the game on Saturday.

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3 years ago