Since 2 is least, we can put that at the end. That leaves us with 2 18/25 and 2 12/16. Since 12/16 is greater, we will put that as the greatest. 2 18/25 is in the middle. Hope this helps!

6 0

3 years ago

Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w

Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = $\frac{\log(b)}{\log(a)}$

thus,

Therefore, applying the above property, we get

⇒ $\frac{\log(3125)}{\log(5)}$ (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒ $\frac{\log(5^5)}{\log(5)}$

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ $\frac{5\log(5)}{\log(5)}$

⇒ 5

Hence,

log₅(3125) = 5

8 0

3 years ago

In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale

a_sh-v [17]

B=3; C=16; and E=4096.

Using the information we have gives us

$8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}$

We know that:
$8^B = 2;
\\
\\C^{\frac{1}{2}}=4;
\\
\\E^{\frac{1}{4}}=8$

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.

3 0

3 years ago

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