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Sindrei [870]
3 years ago
8

What is the domain of y=log5x

Mathematics
2 answers:
Yanka [14]3 years ago
7 0

Answer:

The correct option is 2.

Step-by-step explanation:

The given function is

y=log5x

It is an logarithmic function. If a logarithmic function is defined as

f(x)=log_a(bx)

Where, a is base of log and b>0 is constant.

Then, the domain of the function is all real numbers greater than 0, because the logarithmic function is not defined for any negative number.

Since the given function is a logarithmic function, therefore the domain of the function is all real numbers not equal to 0.

Domain=\{x|x>0\}

Therefore option 2 is correct.

aliina [53]3 years ago
3 0
The answer is both all real numbers less than 0 and all real numbers greater than 0
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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

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