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IrinaK [193]
2 years ago
6

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics
2 answers:
olchik [2.2K]2 years ago
6 0

Answer:

  • x = 2

Step-by-step explanation:

Given equation

  • log_416=x

Use the property of logarithm

  • log_ab=c ⇒ b = a^c

Apply to the given equation

  • 16 = 4^x
  • 4^2=4^x
  • 2 = x
  • x=2
irga5000 [103]2 years ago
3 0

Let's see

\\ \rm\Rrightarrow log_416=x

\\ \rm\Rrightarrow 16=4^x

\\ \rm\Rrightarrow 4²=4^x

\\ \rm\Rrightarrow x=2

Done!

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The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

7 0
3 years ago
Read 2 more answers
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nevsk [136]
3 divided by 5 is 0.6 so 0.65 is bigger
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3 years ago
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IceJOKER [234]
Answer: y = 2/5x + 3
8 0
2 years ago
[3p-1 &lt; 8 or 2(p-1) &lt; -6] and -1 &lt;= 2p &lt;= 3
Levart [38]

Answer:

3 p −  1  <  8 , 2 ( p  −  1 )  <  −  6 ,  −  1  ≤  2 p  ≤  3

Step-by-step explanation:

8 0
3 years ago
Felipe is giving a speech at graduation. The first part of speech is 2. 35Minutes long. The second part of the speech is 2.41 mi
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First part of the speech + the second part = the total time
2.35 minutes + 2.41 minutes = 4.76 minutes
So Felipe’s speech is less than five minutes.
Hope that helps!
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