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Anit [1.1K]
3 years ago
12

Write 1-2log7x as a single logarithm

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer:

log_{7} \frac{7}{x^{2} }

Step-by-step explanation:

We need to write 1 - 2log_{7}x as a single logarithm.

We know that

log_{7}7 = 1

Therefore we have:

log_{7}7 - 2log_{7}x

→ log_{7}7 - log_{7}x^{2}

→ log_{7} \frac{7}{x^{2} }

The solution is: log_{7} \frac{7}{x^{2} }

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I cannot find the answer on my own, I need a lil' bit of help.
viktelen [127]

for any fraction a/b, the decimal format of it is just a ÷ b.

A)

is the number rational?

well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.


B)

can it be written as a repeating/recurring decimal?  well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545......... , just a plain vanilla -0.45, so nope.


C)

is it less than -0.4?

well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.

who is closer -0.4 or -0.45?

|---------------------  -0.45  --------  -0.40  -------------------  0  ---------------  1  -------------------|

so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.

4 0
3 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
1 year ago
Bunty goes 500 km from Delhi towards East direction. Bubly goes 200 km for Delhi towards
Maslowich

Answer:

700 km

Step-by-step explanation:

Distance covered by Bunty = 500 km

Distance covered by Bubbly = 200 km

Displacement between them = 500 + 200 km = 700 km

This means Bubbly has to cover a distance of 700 km to reach Bunty.

8 0
2 years ago
PLEASE HELP me
prohojiy [21]
To find the average number of customers for dinner, use the simple ratio of 5 lunch customers for every 8 dinner customers.

Because there are 40 lunch customers, this is eight groups of five lunch customers. This means you will need 8 groups of 8 dinner customers to make it equivalent.

8 x 8 = 64

There is an average of 64 customers for dinner.
4 0
3 years ago
URGENT...
MatroZZZ [7]
The center of the dilation is the origin, and the scale factor is 2.

To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.

Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.


So, the coordinates are:

X'(8, 0); Y'(6, 4); Z'(4, -4).

8 0
3 years ago
Read 2 more answers
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