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NemiM [27]
2 years ago
13

Need help with this geometric question ASAP, Thank you

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
6 0

Answer: 15

Step-by-step explanation:

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What is the true solution to 3 in 2 + in 8 = 2 in (4x)
11Alexandr11 [23.1K]
The first step for solving this equation is to determine the defined range.
3㏑(2) + ㏑(8) = 2㏑(4x), x > 0
Write the number 8 in exponential form.
3㏑(2) + ㏑(2³) = 2㏑(4x)
Using ㏑(a^{x}) = x × ㏑(a),, transform the expression.
3㏑(2) + 3㏑(2) = 2㏑(4x)
Now collect the like terms on the left side of the equation.
6㏑(2) = 2㏑(4x)
Switch the sides of the equation.
2㏑(4x) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the left side of the equation.
㏑((4x)²) = 6㏑(2)
Using x × ㏑(a) = ㏑(a^{x}),, transform the expression on the right side of the equation.
㏑((4x)²) = ㏑(2^{6})
Since the bases of the logarithms are the same,, you need to set the arguments equal.
(4x)² = 2^{6}
Take the square root of both sides of the equation and remember to use both the positive and negative roots.
4x = +/- 8
Now separate the equation into 2 possible cases.
4x = 8
4x = -8
Solve the top equation for x.
x = 2
Solve the bottom equation for x.
x = 2
         , x > 0
x = -2
Lastly,, check if the solution is in the defined range to find your final answer.
x = 2
This means that the correct answer to your question is x = 2.
Let me know if you have any further questions
:)
5 0
3 years ago
Read 2 more answers
Can someone please help and explain how to use the Pythagorean Theorem to prove a triangle is a right triangle.
marin [14]

Hi there!

For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2

And then find the root of the hypotenuse.

For example,

15^2 + 8^2 = the hypotenuse^2

Which equals, 225 + 64 = 289

Square root of 289 = 17

Please mark me brainliest if this helps!

Have a wonderful day!

7 0
3 years ago
Suzie paid a total of $324 dollar sign, 324 for x tickets to a rock festival.
MA_775_DIABLO [31]

Find the ticket unit cost:  divide the total paid, $324, by the number of tickets, x.  Then the form of the unit cost is

$324

--------- .

   x

This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets.  Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:

$324

----------------- = $3.24/ticket

100 tickets

6 0
3 years ago
Read 2 more answers
Find the slope. NEED HELP ASAP PLEASE !!!!
chubhunter [2.5K]

Answer:

sure i gotchu

Step-by-step explanation:

3/2

its just counting

5 0
3 years ago
Write an equation, in point-slope form, for the line that passes through (1, -5) and has a slope of -3.
Serggg [28]

Answer:

<u>y+5 =-3</u>

x-1

y+5=-3x +3

y=-3x-2

Step-by-step explanation:

8 0
2 years ago
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