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3 years ago

Use the laws of logarithms and the values given below to evaluate the logarithmic expression.

Mathematics

2 answers:

salantis [7]3 years ago

8 0

Answer:

Step-by-step explanation:

We can use the logarithm property shown below to evaluate this:

$Log(x*y*z)=logx+logy+logz$

Now we can write Log 12 as Log (2*2*3).

<em>Using the rule, we can write:</em>

<em />

We are given values of Log 2 and Log 3, plugging these we get:

Log (2*2*3) = Log 2 + Log 2 + Log 3

Log (2*2*3) = 0.3010 + 0.3010 + 0.4771 = 1.0791

Answer choice B is right.

Oliga [24]3 years ago

5 0

We can factor out 12 using 2 and 3.

log(12) = log(2^2 * 3)

Rewrite it using the product rule [ log(xy) = log(x) + log(y) ]

log(2^2 * 3) = 2 log(2) + log(3)

Simplify using the given values.

2(0.3010) + 0.4771

0.602 + 0.4771

1.0791

Therefore, the answer is b. ≈ 1.0791

Best of Luck!

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2) 2(8r + 5) = 24 + 9r

Anna35 [415]

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

4 0

3 years ago

Identify all the lines of symmetry of the following rectangle.

ladessa [460]

The triangle presented in the image has 2 axes of symmetry because it is only possible to divide it 2 times.

<h3>What are axes of symmetry?</h3>

The axes of symmetry are a concept of geometry that are classified into two groups:

The plane axis of symmetry: This is an imaginary line that divides a figure into two parts, ensuring that the symmetrical points are at the same distance from it.
The axis of axial symmetry: This is the symmetry around an axis, it is a point of translation and rotation in which all the semi-planes taken from a certain perpendicular bisector have identical characteristics.

According to the above, it can be inferred that the rectangle presented in the image has only two axes of symmetry.

Learn more about symmetry in: brainly.com/question/17759737

#SPJ1

4 0

3 years ago

Lina is packing to move to a new house. She has 561 items to transfer to the new house. 36 of the items are large items that wil

Lyrx [107]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let me give different scenarios to help you solve.

Firstly, assuming we want to calculate the amount of items left after the large items are carried alone, this will be:

= 561 - 36

= 525

Secondly, if we want to know the percentage of the large items that will be carried alone. This will be:

= 36/561 × 100.

= 6.42%

Thirdly, if you want to know the percentage of the items that will be left after the large ones have been carried alone. This will be:

= 100% - 6.42%

= 93.58%

5 0

3 years ago

What's the answer for 2 and 3

Lorico [155]

To find the unit rate you do distance ÷ time
16 miles ÷ 2 hours = 18
To find the time you do distance ÷ unit rate
20 miles ÷ 18 = 1.1
To find the distance you do time • unit rate
3 hours • 18 = 54

2) 1.1, 54, 1.8, 90, 27
3) 48, 3, 30, 2, 1

5 0

3 years ago

Which statement is true regarding the functions on the graph?

Roman55 [17]

The true regarding the functions on the graph is f(2) = g(2)

<h3>How to determine the true statement?</h3>

The graph that completes the question is added as an attachment

From the attached graph, we can see that both lines intersect at:

x = 2

This means that:

f(2) = g(2)

Hence, the true regarding the functions on the graph is f(2) = g(2)