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GuDViN [60]
3 years ago
14

What is the value of log0.5 16

Mathematics
2 answers:
umka2103 [35]3 years ago
5 0
The answer:
the full question is as follow 
What is the value of <span>log0.5 ^16

first of all, we should know some logarithm property
for example:
log a^p = p log a, for all a a positive number, an p a real number

therefore, </span>log0.5 ^16 = 16log0.5, and log0.5 = -0.69, 
<span>finally
</span>log0.5 ^16 = 16log0.5=16*(-0.69)= -11<span>


</span>
Marta_Voda [28]3 years ago
4 0

Answer:

You mean ?

log_0_._5 (16) =-4

or

You mean?

log(0.5)^{16}=-11.09035489

Step-by-step explanation:

If you trying to solve:

log_0_._5(16)

Then use the definition of the base of a log which is:

log_xy=z\Rightarrow x^z=y

0.5^z=16  

Rewrite 0.5 as:

0.5=\frac{1}{2}

As you may know:

2^4=16

then\\\\z=-4

Let's use the negative exponent propierty in order to verify the result:

a^{-n}=\frac{1}{a^n}

(\frac{1}{2} )^{-4}=\frac{1}{\frac{1^4}{2^4} } =2^4=16

If you trying to solve:

log(0.5)^{16}

Then use reduction of power propierty:

log(x^y)=y log(x)

Therefore:

log(0.5)^{16} =16 *log(0.5)=16*(-0.6931471806)=-11.09035489

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Creo que te falta información posiblemente la imagen de la finca
8 0
3 years ago
the dimensions of the oven tray is 600mm by 500mm. Each cake tin is 25cm in diameter. How many cake tins can be fit on the oven
gulaghasi [49]

That's 60cm by 50cm

so that would be 4 cake tins

8 0
3 years ago
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Mr. Thomas drove 75 miles in May. He drove 6 times as many miles in July as he did in May. He
harkovskaia [24]

Answer:

1800 miles

Step-by-step explanation:

No. of miles driven by Mr. Thomas in May = 75

It is given that miles driven in July is 6 times of miles driven by Mr. Thomas in May(75 miles).

Thus

No. of miles driven by Mr. Thomas in July = 6 * No. of miles driven by Mr. Thomas in May   = 6*75 = 450 miles.

__________________________________________________

Another condition given   that miles driven in June is 4 times of miles driven by Mr. Thomas in July(450miles as calculated above).

Thus

No. of miles driven by Mr. Thomas in June = 4 * No. of miles driven by Mr. Thomas in July   = 4* 450 miles = 1800 miles.

No. of miles driven by Mr. Thomas in June is 1800 miles.

8 0
3 years ago
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa
Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = \frac{12!}{3! 3! 3! 3!}

Now,

The Total number of ways in which Remaining cards are distributed = \frac{40!}{10! 10! 10! 10!}

So,

Total number of ways of getting 3 picture card and remaining card = \frac{12!}{3! 3! 3! 3!}× \frac{40!}{10! 10! 10! 10!}

= \frac{12! 40!}{(3!)^{4} (10!)^{4}  }

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = \frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }

∴ The probability = \frac{\frac{12! 40!}{(3!)^{4} (10!)^{4}  }}{\frac{52!}{(13!)^{4} }}

                            = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13!)^{4} }{ 52! }

                           = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }

                           = \frac{12!}{(3!)^{4}   }×\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = \frac{479,001,600}{(6)^{4}   }×\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0
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Tasya [4]
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96=4 times smaller
divide b 4
24=smaller

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