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34kurt
3 years ago
11

Which exponential equation is equivalent to the logarithmic equation below? log 478= a

Mathematics
1 answer:
marta [7]3 years ago
5 0
\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\
\log 478=a \\ \downarrow \\
\log_{10} 478=a \\ \Downarrow \\ \boxed{10^a=478}

The answer is A.
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Solution :

Given :

The height of the person is 5 foot.

The height of the lamppost is 12 foot.

Speed of the person away from the lamppost = 4 ft/s

Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).

By similarity of the triangles, we see that

$\frac{12}{d}=\frac{5}{x}$  .................(i)

Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,

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Putting (ii) in (i) and solving for d is

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∴ d'(t) = 6.85 ft/s

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3 years ago
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d1i1m1o1n [39]
D) 15.955 is the correct answer
8 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
There are______<br>Pairs of integers satisfying a÷b = -2​
aleksandr82 [10.1K]

Answer:

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Pairs of integers satisfying a÷b = -2​

Step-by-step explanation:

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2 years ago
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Second year:
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Third year:
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$1270.57 - $381.171 = $</span>889.39900

$889.39900 rounded to the nearest hundredth is $889.40
8 0
3 years ago
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