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3 years ago

0.94=log x solve this equation for x round answer to the nearest hundredth

Mathematics

1 answer:

Lelechka [254]3 years ago

7 0

The answer is 8.71.

In order to find the value of any logarithmic function, you can raise the base (10 by default, unless stated otherwise) to the answer (.94) to get the number (x).

So, 0.94 = log x is basically saying 10^.94 = x. And when you raise 10 to the .94 power, you get 8.71.

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Which of the following exponential functions represents the graph below?

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the graph corresponds to function "D" $f(x)=3\,(\frac{1}{5} )^x$

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

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while function D at x = 0 gives:

$f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3$

Therefore, the graph corresponds to function "D"

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