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patriot [66]
3 years ago
14

A car can travel 476 miles on 14 gallons of gas.Write an equation relating the distance d to the number of gallons of gas does t

his car need to travel 578 miles.
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
Mpg = 476/14 = 34 mpg

d = 578 miles = (34 mpg)(x gallons)

578 = 34x

x = 578/34 = 17 gallons
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The equation which is equivalent to \log _{x} 36=2 is x^{2}=36 or x = 6 (\log _{6} 36=2).

<u>Step-by-step explanation:</u>

Given Equation:

           \log _{x} 36=2

As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:

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Then, the base b logarithm of x is equal to y

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Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,

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When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as \log _{6} 36=2

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