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taurus [48]
3 years ago
6

Explain how to solve 2^(x + 1) = 9 using the change of base formula log base b of y equals log y over log b. Include the solutio

n for x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

<h3>x = 2log₂(3) - 1</h3>

Step-by-step explanation:

2ˣ⁺¹ = 9

x+1 = log₂(9)

x+1 = log₂(3²)

Transfer the power value inside the bracket and put it before the log.

x+1 = 2log₂(3)

<h3>x = 2log₂(3) - 1 </h3>

#StayPositive - kexcvi

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How many two-digit primes have both their digits non-prime?
Nuetrik [128]

Answer:

{ 11 , 19 , 41 , 61 , 89 } is only the two digits number having both their non-prime.

Step-by-step explanation:

8 0
4 years ago
At what time is the cake done
svp [43]
<h2>Explanation:</h2>

Here we know that at 3:17 pm you started to bake the cake. The total revolution the minute hand on the clock makes is:

\frac{5}{8}+\frac{13}{24}=\frac{7}{6} \ revolutions

We know that:

1 \ revolution ----------- 60min \\ \\ 7/6 \ revolutions -----------x

Solving for x:

x=\frac{7}{6}\times 60=70 minutes

So it takes 70 minutes after you put the cake in the oven. But:

70minutes=1h \ 10min

Adding this to the initial time:

3:17pm+1h \ 10min=4:27pm

Finally, the cake is done at 4:27 pm, option C.

5 0
3 years ago
Find the slope of the line that passes through (10, 7) and (3, 15).
alex41 [277]

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

      <em>Find the slope of the line that passes through (10, 7) and (3, 15).</em>

<em>Simplify your answer and write it as a proper fraction, improper fraction, or integer.</em>

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

We can find the slope using the following formula:-

\boxed{\frac{y_2-y_1}{x_2-x_1}}

Replace the letters with numbers:-

\boxed{\frac{15-7}{3-10}}

\bigstar On simplification,

\boxed{\frac{8}{-7}}

\bigstar The slope is

\boxed{-\frac{8}{7}}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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Step-by-step explanation:


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dolphi86 [110]

Answer:20

Step-by-step explanation:

5 0
4 years ago
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