All categories

3 years ago

Use the Product Property of Logarithms to write the logarithm, log8(3x), as a sum of logarithms. Simplify if possible.

Mathematics

1 answer:

Strike441 [17]3 years ago

6 0

Answer:

3log2+log3+logx

Step-by-step explanation:

log8(3x) can be written as log(8•3x)

Log laws says that log(ab)=log(a)+log(b)

So log (8•3•x)=log8+log3+logx

log8 can be written into prime factorization of log(2^3) and by more log laws that can be written as 3log2

You might be interested in

Solve 2(a +8) > 18<br> ο Α. α>1<br> o ca > 13<br> O Ba>5<br> OD. a > 15

zubka84 [21]

Answer:

A) a>1

Step-by-step explanation:

2(a +8) >18

2a +16 >18

2a>18 - 16

2a>2

a>2:2

a>1

6 0

3 years ago

Write an equation of the line in point slope form, that passes through the two given points

Anika [276]

Answer:

y -15 = -3(x +2)

Step-by-step explanation:

The slope will be ...

m = (y2 -y1)/(x2 -x1)

m = (-18 -15)/(9 -(-2)) = -33/11 = -3

Point-slope form is ...

y -y1 = m(x -x1) . . . . . line with slope m through point (x1, y1)

Using the first point, the equation is ...

y -15 = -3(x +2)

4 0

3 years ago

An electrician disconnected 5 wires of different colors from their respective connections and forgot the order in which they wer

Inessa05 [86]

Answer:

120 tries

Step-by-step explanation:

You can try 5 different wires in the first connection.

Then you have 4 wires left, so you try 4 wires in the second connection. Remember, you are now trying 4 wires for each of the first 5, so up to here you already made 4 * 5 tries = 20 tries.

Next you try 3, then 2, then you have 1 left.

Number of tries: 5 * 4 * 3 * 2 * 1 = 120

Answer: 120 tries

8 0

3 years ago

A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6

sdas [7]

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

It is three dimension shape.
It has a vertex.
The slant height of a cone $l^2=r^2+h^2$ , $l$ = slant height, r= radius of the base, h= height
The lateral surface area is πrl
The volume of a cone is $\frac13 \pi r^2h$ .