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loris [4]
3 years ago
6

Which of the following is the inverse of y=3x?

Mathematics
2 answers:
tigry1 [53]3 years ago
8 0
So if x is the exponent, 3 is the base, and y is the argument then this is an exponential function meaning the inverse is a logarithm so the answer can't be A or C. All you have to do is match the base, exponent, and argument into the setup for a logarithmic equation which is x=logby. Your answer should be x=log3y which looks similar to answer B.
shtirl [24]3 years ago
7 0

Answer-

<em>The inverse of y=3^x is </em>

\boxed{\boxed{y=\log_3 x}}

<u>Solution-</u>

The given function is,

y=3^x

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

\Rightarrow x=3^y

Taking log of both sides,

\Rightarrow \log x=\log 3^y

As,

\log a^b=b\times \log a

Applying the same,

\Rightarrow \log x=y\times \log 3

\Rightarrow y=\dfrac{\log x}{\log 3}

As,

\log_b a=\dfrac{\log a}{\log b}

Applying the same,

\Rightarrow y=\log_3 x

Therefore, the inverse of y=3^x is y=\log_3 x.

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e-lub [12.9K]

Answer: y=-2x+6

Step-by-step explanation:

m=\frac{6-2}{0-2}=\frac{4}{-2}=-2

So y=2x+b. We can substitute (0, 6) to get:

6 = 2(0)+b

b=6.

Meaning y=-2x+6.

8 0
2 years ago
The graph of the equation y=12x−3 Determine the value of y for the point (4, y).
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Answer:

y=45

Step-by-step explanation:

y=12x-3

y=12(4)-3

y=45

4 0
3 years ago
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Lostsunrise [7]
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The plans for a rectangular deck call for the width to be 10 feet less than the length. Sam wants the deck to have an overall pe
sergeinik [125]

Length of deck is 40 feet

<h3><u><em>Solution:</em></u></h3>

Sam wants the deck to have an overall perimeter of 60 feet

Perimeter of rectangular deck = 60 feet

Let "L" be the length of rectangle and "W" be the width of rectangle

Given that plans for a rectangular deck call for the width to be 10 feet less than the length

Width = length - 10

W = L - 10  ------ eqn 1

<em><u>The perimeter of rectangle is given as:</u></em>

perimeter of rectangle = 2(length + width)

Substituting the known values we get,

60 = 2(L + L - 10)

60 = 2(2L - 10)

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7 0
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What's the answer for 4a - 13=19
pashok25 [27]
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3 years ago
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