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NeTakaya
3 years ago
12

Which expressions are equivalent to the one below? Check all that apply. Log^7 1 * Log^5 25

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

B if you mean log_7 (1)*log_ 5 (25)

Step-by-step explanation:

I think you mean 7 and 5 as bases... like

log_7(1)*log_5(25)

log_7(1)=0 because 7^0=1

log_5(25)=2 because 5^2=25

So you have to perform the following operation 0*2=0

so 0 is definitely one answer

1  and 5*7 are definitely not equal to 0

let's look at last choice now

log_7(7)=1 because 7^1=7

so D is equivalent to saying 2*1 which is 2 not 0

so only one choice works and it is B

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Which of the following exponential equations is equivalent to the logarithmic
Nataly_w [17]

Given:

The logarithmic equation is:

\log 970=x

To find:

The exponential equations that is equivalent to the given logarithmic equation.

Solution:

Property of logarithm:

If \log_b a=x, then a=b^x

We know that the base log is always 10 if it is not mentioned.

If \log a=x, then a=10^x

We have,

\log 970=x

Here, base is 10 and the value of a is 970. By using the properties of exponents, we get

970=10^x

Interchange the sides, we get

10^x=970

Therefore, the correct option is B, i.e., 10^x=970.

Note: It should be "=" instead of "-" in option B.

4 0
3 years ago
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Eduardwww [97]

Answer:

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5 0
3 years ago
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How do I solve 2(2w+5)?<br><br> What is the answer?
slavikrds [6]

Answer:

4w+10

Step-by-step explanation:

2x2w+2x5

4w+10

hope It helps :)

4 0
3 years ago
The cities Youngstown, Prairieville; and Dorchester, in respective order, lie approximately in a straight line. The distance fro
kobusy [5.1K]
213 - 102 = 111 miles from Praireville to Dorchester
7 0
3 years ago
7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive vi
Lilit [14]

Answer:

It would take 6 days for 500 students to be affected.

Step-by-step explanation:

Given that:

1. Seven kids returned with the virus.

2. The aggressive virus spreads at 130% each day.

We want to find how many days until 500 students are infected by the virus.

First day:

7 students have the virus, 130% of 7 student will contract the virus again.

130% of 7 = (130/100) × 7

= 1.3 × 7 = 9.1 ≈ 9

9 new students are affected

New total affected = 7 + 9 = 16 students.

Day 2:

Affected = 1.3 × 16 = 20.8 ≈ 20

New total affected = 20 + 16 = 36

Day3

Affected = 1.3 × 36 = 46.8 ≈ 46

New total affected = 36 + 46 = 82

Day4

Affected = 1.3 × 82 = 106.6 ≈ 106

New total affected = 106 + 82 = 188

Day5

Affected = 1.3 × 188 = 244.4 ≈ 244

New total affected = 244 + 188 = 432

Day6

Affected = 1.3 × 432 = 561.6 ≈ 561

New total affected = 561 + 432 = 993

Therefore, it would take 6 days for 500 students to be affected.

8 0
3 years ago
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