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Lyrx [107]
3 years ago
12

What equations is equivalent to y = log x

Mathematics
1 answer:
saw5 [17]3 years ago
4 0

"log" standing alone actually means "logarithm to the base 10."


Thus, y = log x   <=>   y = log      x
                                               10
                                                                           y
 Stated another way (inverse functions), x = 10
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a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

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Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

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y = mx + b

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Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

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