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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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What is the solution to the proportion?<br> 5/x = 2/16
mixas84 [53]

Answer:

I believe the answer is X=40

Step-by-step explanation:

cross multiply 5*16 = X * 2

Multiply 5*16

80= X*2

Add '-2x' to each side of the equation

80 + -2x = 2x + -2x

Combine like terms

80 + -2x = 0

Add '-80' to each side of the equation.

80 + -80 + -2x = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -2x = 0 + -80

-2x = 0 + -80

Combine like terms: 0 + -80 = -80

-2x = -80

Divide each side by '-2'.

x = 40

Simplifying

x = 40

Hope this helped :)

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3 years ago
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Answer:

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Step-by-step explanation:

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MAVERICK [17]

Answer:

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Step-by-step explanation:

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3 years ago
John has a job selling souvenirs on a football stadium. He earns $10 per game plus $0.25 dollars for each souvenir he sells. How
Ahat [919]

Answer:

He needs to sell 100 souvenirs

Step-by-step explanation:

We want to know the number of souveniers John has to sell

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2 years ago
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kvasek [131]

Answer:

Step-by-step explanation:

Total number of pairs of socks in a drawer = 10

Number of black pairs of socks = 5

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Number of socks you pull out to guarantee that you have a pair of one color = 3 socks

B. If you want to pick 2 good pairs and your 6 picks are worst case, so 7th pick of the socks will give you good pair of two colors.

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