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melomori [17]
3 years ago
11

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

Mathematics
2 answers:
mojhsa [17]3 years ago
4 0

For this case, we must find the inverse of the following function:

y = 3 ^ x

We follow the steps below:

We exchange the variables:

x = 3 ^ y

We put the variable y on the left side of the equation:

3 ^ y = x

We apply logarithm properties:

y = log_ {3} (x)

So:

f ^ {- 1} = log_ {3} (x)

Answer:

f ^ {- 1} = log_ {3} (x)

Option B

inessss [21]3 years ago
3 0

Answer: y=log3x or option B

Step-by-step explanation:

Took the test

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

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Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

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Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

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In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

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CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

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\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


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What is the answer using the majic method of factoring?
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