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gayaneshka [121]

2 years ago

9

Please help meeeeeeeeeee

1 answer:

Amanda [17]2 years ago

4 0

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

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Solve f (x) = 32^x+6•1/2 = 8^x-1

emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation $f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

$32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

Now, we shall determine the value of x.

The term $8^{x-1}$ can be written as $\left(2^{3}\right)^{x-1}$

Hence, we have,

$32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Also, the term $32^{x+6}$ can be written as $\left(2^{5}\right)^{x+6}$

Thus, we have,

$\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Applying the exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we have,

$2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}$

$2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}$

If $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

$5(x+6)-1=3(x-1)$

Simplifying, we get,

$5x+30-1=3x-3$

$5x+29=3x-3$

$2x+29=-3$

$2x=-32$

$x=-16$

Therefore, the value of x is -16

Hence, Option B is the correct answer.

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3 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (-6, 2); m = 3

zheka24 [161]

Answer:

y-2=3(x+6)

Step-by-step explanation:

you place the axis y and the x in the proper form; y - y1 = 3 ( x - x2)

since axis x is a negative, and in the slope form it is in need of a subtraction, you reverse it; a positive number.

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2 years ago

determine the time necessary for P to double when it is invested at interest rate r compounded annually, monthly, daily, and con

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Answer:

Step-by-step explanation:

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3 years ago

I'm stuck on this question:<br><br> What's 100 divided by 2?

koban [17]

Answer:

50

Step-by-step explanation:

100 into 2 parts is 50

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2 years ago

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pychu [463]

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