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Advocard [28]
3 years ago
8

PLEASE HELP ME Use the function below to find f(2). f(x) = 1/3 x 4^x

Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer:

16/3

Step-by-step explanation:

I got it right

Anna71 [15]3 years ago
4 0

f(2) This means that x is 2, so you plug in 2 for x in the equation

f(x)=\frac{1}{3} (4^x)

f(2)=\frac{1}{3}(4^2)

f(2)=\frac{1}{3} (16)

f(2)=\frac{16}{3}


Your answer is D

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3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtrcted by 6
hichkok12 [17]

Answer:

x = -0.5

Step-by-step explanation:

Here we have the sentence:

"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"

The first part:

"3 to the power 2x+3 is subtracted by 9..."

This can be written as:

3^{2x + 3} - 9

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

3^{2x + 3} - 9 = 2*9^{x + 1} - 6

Let's solve this for x.

First, we can add 9 in both sides:

3^{2x + 3}  = 2*9^{x + 1} - 6 + 9 =  2*9^{x + 1} + 3

We also know the relations:

a^n*a^b = a^{n + b}

and

(a^n)^m = a^{n*m}

We can write the left part as:

3^{2x + 3} = 3^{2x}*3^3 = (3^2)^x*3^3 = 9^x*27

And the right side as:

2*9^{x + 1} + 3 = 2*9^x*9 + 3 = 18*9^x + 3

Then the equation becomes:

27*9^x = 18*9^x + 3

Now let's move both terms with 9^x to the left side:

27*9^x - 18*9^x = 3\\

(27 - 18)*9^x = 3

9*9^x = 3

9^x = 3/9 = 1/3

Now remember that:

Ln(a^b) = b*Ln(a)

Then if we apply the Ln( ) function to both sides, we get:

Ln(9^x) = Ln(1/3)

x*Ln(9) = Ln(1/3)

x = \frac{Ln(1/3)}{Ln(9)} = -0.5

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Answer:

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2 years ago
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Alexus [3.1K]

rewrite -1 1/3 as a decimal: -1.5


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