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3 years ago

Find the inverse of the function f(x)=8^x

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

6 0

Answer:

y = logx/log8

Step-by-step explanation:

To find the inverse of an equation, you switch the locations of x and y, then solve for y.

So in this case, f(x) = y, and your equation is:

y = 8^x

It would become

x = 8^y

There are multiple ways to solve this- one I usually use is logs, so you take the log of both sides.

log x = ylog8

(when you take the log of something the exponent becomes a coefficient)

Then, y = logx/log8

I hoped this helped!

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A bear can run up to 18.47 feet per second. How many feet could the bear run in 3.9 seconds? 720.33 feet 7,203.3 feet 72.033 fee

JulsSmile [24]

Answer:

72.033 ft

Step-by-step explanation:

To find this, let us set up a fraction. Since 18.47 = 1 second, y = is 3.9 seconds. Let "y" be the variable.

$\frac{18.47}{1}=\frac{y}{3.9}$

Step 1: Switch sides

$\frac{y}{3.9}=\frac{18.47}{1}$

Step 2: Apply rule: $\frac{a}{1}=a$

$\frac{y}{3.9}=18.47$

Step 3: Multiply both sides by $3.9$

$\frac{3.9y}{3.9}=18.47\cdot \:3.9$

Step 4: Simplify

$y=72.033$

The bear can run 72.033 feet in 3.9 seconds

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3 years ago

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mario62 [17]

Answer:

solution,

$(\frac{1}{7} ) ^{3a + 3} = {343}^{a - 1} \\ or \: ( {7}^{ - 1} ) ^{3a + 3} = {(7}^{3} ) ^{a - 1} \\ or \: (7) ^{ - 3a - 3} = {(7)}^{3a - 3} \\ or \: - 3a - 3 = 3a - 33 \\ or \: - 3a - 3a = - 3 + 3 \\ or \: - 6a = 0 \\ \: a = 0$

hope this helps..

Good luck on your assignment..

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3 years ago

NEED HELP ASAP!!!

Dvinal [7]

Answer D

Step-by-step explanation:

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Aleks [24]

Answer:

Step-by-step explanation:

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viva [34]

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