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aniked [119]
3 years ago
12

What is the solution of log2x − 6 (256) = 4?

Mathematics
2 answers:
timama [110]3 years ago
6 0
So D x= 5 is the right answer

Korvikt [17]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

log_{2x-6}(256)=4

This equation can be written as

(2x-6)^{log_{2x-6}(256)}=(2x-6)^4

256=(2x-6)^4                         [\because a^{log_ax}=x]

Taking 4th root both sides.

4=(2x-6)

4+6=2x

10=2x

5=x

The value of x is 5.

Therefore correct option is D.

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What is the probability of rolling a dice at most 3 times until a 6 occurs
IRISSAK [1]

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity= \frac{chances\ of\ occurance}{Total\ number\ of\ event}

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll= \frac{1}{6}

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll= \frac{1}{6}+(\frac{1}{6})^{2} +(\frac{1}{6})^{3}

⇒ Probablity of getting six in three roll=  \frac{1}{6}+\frac{1}{36} +\frac{1}{216}

Taking LCD 216

⇒Probablity of getting six in three roll= \frac{1\times 36+ 6\times 1+1}{216}

⇒Probablity of getting six in three roll= \frac{43}{216}

∴Probablity of getting six in three roll=0.199

           

3 0
3 years ago
40 points to whomever answer this right
irga5000 [103]
X and w is 105 degrees and y and z are 86 degrees. since line L is a straight line it would have to add up to 180 and same with line M

7 0
3 years ago
Which expression is equivalent to
Semmy [17]
The answer is the last option. 
4 0
3 years ago
Pam jogged 15 and 3/4 miles in 3 hours. At this rate how long would it take Pam to jog 28 and 7/8 miles?
Lorico [155]
First, let’s find the distance Pam jogs in one hour.
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Now, simply divide 28.875 (28 and decimal of 7/8) by our new rate.
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3 0
3 years ago
The hole for a support post needs to be 6 feet deep. It is currently 1 foot 8 inches deep. How much deeper must the hole be? Jus
Paul [167]

Answer:

think it's about 5 feet and 4 inches more.

8 0
2 years ago
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