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LenaWriter [7]
3 years ago
9

Expand the logarithm. log4 (3xyz​)^2

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

Answer is (2log2 + 2log3 + 2logx + 2logy + 2logz)

Step-by-step explanation:

log4(3xyz)²

= log4 + log(3xyz)²

= log4 + 2log(3xyz)

= log(2)² + 2[log3 + logx + logy + logz]

= 2log2 + 2log3 + 2logx + 2logy + 2logz

tangare [24]3 years ago
4 0
2<span>(<span>log4</span><span>(3)</span>+<span>log4</span><span>(x)</span>+<span>log4</span><span>(y)</span>+<span>log4</span><span>(z)</span><span>)</span></span>
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PLEASE HELP ; I need help on this ? I am confused .
zubka84 [21]
256,000-2.56*100,000
Since there are 6 digits in 256,000, it is 2.56*100,000 becuase 100,000 also has 6 digits.
2.56*100,000=2.56*10^5
Since there are 5 zeroes in 100,000, it is 10^5.
256,000=2.56*100,000=2.56*10^5
First box: 100,000
Second box: 5
6 0
2 years ago
Read 2 more answers
An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and
blagie [28]

Answer:

  84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

  Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

  tan(30°) = OB/OA

  OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

  OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

  BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0
3 years ago
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a
djverab [1.8K]

50 = 3x + 2

50 - 2 = 3x

48 = 3x

48/3 = 3x/3

16 = x


Jack has 16 friends.

4 0
2 years ago
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How do I solve 3= log8+3log x?
taurus [48]

<span>3 = log(8) + log(x³) </span>

<span>When adding logs, you are multiplying the terms altogether. </span>

<span>3 = log(8x³) </span>

<span>Then, by log_a b = n ==> aⁿ = b: </span>

<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>

<span>Finally, solve for x. </span>

<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>

<span>Hence, x = 5. </span>
3 0
2 years ago
Which of the following equations could be used to solve the given equation?
kvasek [131]
Well, lets first start off with combining like terms.

9x + 26 + 7x - 17 = 2x + (-3x) + 5x

9x + 7x + will give you 16x, and 26 - 17 will give you 9. Therefore, the first part of the equation is 16x + 9.

On the other side, you can combine all three terms (2x + 5x - 3x), which will give you 4x.

Using the above steps, you can figure that the answer is 16x +9 = 4x
8 0
3 years ago
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