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PSYCHO15rus [73]
1 year ago
14

Please help meeee ………..

Mathematics
1 answer:
Len [333]1 year ago
6 0

Answer:

  x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

  \dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}

__

<em>Additional comment</em>

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

  \log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5

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3² +4² = 5²,
AlekseyPX

Answer:

They are all true

Step-by-step explanation:

1. 3² +4² = 5²

3x3 + 4x4 = 5x5

  9   +  16  =  25

25 = 25

-----------------------

2. 6² + 8² = 10²

36 + 64 = 100

100 = 100

------------------

3. 9² + 12² = 15²

81 + 144 = 225

225 = 225

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4. 5² +12² =13²

25 + 144 = 169

169 =169

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7 0
8 months ago
Tamara gets paid an annual salary of $48,000 and earns 4% commission on all sales she makes. If Tamara wants to make $6,000 this
Ronch [10]
<span>Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.</span>
7 0
3 years ago
Nth term (math) asap please.
SOVA2 [1]

Answer:

Just do minus two, and you will get 27-100=-73

Step-by-step explanation:

7 0
2 years ago
How many sides does a regular polygon have if each of its interior angles measures 174°
Tasya [4]

Answer:

60 sides

Step-by-step explanation:

3 0
3 years ago
What's the value of x?<br><br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20625" id="TexFormula1" title=" {x
ASHA 777 [7]

Answer:

hey mate!!

Step-by-step explanation:

x^2=625

x=√625

x=25

hope it helps

7 0
3 years ago
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