Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Use the following function rule to find $f(3)$ . $\newline$ $f(x) = 2(7)^x$ $\newline$ $f(3) =$ _____

View step-by-step help

View step-by-step help

Evaluate exponential functions

Full solution

Q. Use the following function rule to find

f(3)

.

\newline

f(x) = 2(7)^x

\newline

f(3) =

_____

Identify Function: Identify the function which represents $f(3)$ . Substitute in $3$ for $x$ in $f(x) = 2(7)^x$ . $f(3) = 2(7)^3$
Evaluate Expression: Evaluate $2(7)^3$ . $\newline$ Calculate the value of $7^3$ first, then multiply by $2$ . $\newline$ $7^3 = 7 \times 7 \times 7$ $\newline$ $7^3 = 49 \times 7$ $\newline$ $7^3 = 343$ $\newline$ Now multiply by $2$ . $\newline$ $2 \times 343 = 686$
Determine Value: Determine the value of $f(3)$ . $f(3) = 686$

More problems from Evaluate exponential functions

Question

13 \mathrm{~km}

stretch of road needs repairs. Workers can repair

3 \frac{1}{2} \mathrm{~km}

of road per week.

\newline

How many weeks will it take to repair this stretch of road?

\newline

Posted 10 months ago

Question

Liam opened a savings account and deposited

\$ 6000

. The account earns

5 \%

in interest annually. He makes no further deposits and does not withdraw any money. In

t

\$ 8865

in this account.

\newline

Write an equation in terms of

t

that models the situation.

Posted 10 months ago

Question

Samantha opened a savings account and deposited

\$ 8192

. The account earns

10 \%

in interest annually. She makes no further deposits and does not withdraw any money. In

t

\$ 25,710

in this account.

\newline

Write an equation in terms of

t

that models the situation.

Posted 10 months ago

Question

The graph of a sinusoidal function intersects its midline at

(0,-7)

and then has a minimum point at

\left(\frac{\pi}{4},-9\right)

\newline

Write the formula of the function, where

x

is entered in radians.

\newline

f(x)=

Posted 10 months ago

Question

The following formula is used in economics to find a company's gross profit rate

P

S

is the net sales and

C

is the cost of goods sold.

\newline

P=\frac{S-C}{S}

\newline

Rearrange the formula to highlight the cost of goods sold.

\newline

C=\square

Posted 10 months ago

Question

3 \cdot 5^{0.2 w}=720

\newline

What is the solution of the equation?

\newline

Round your answer, if necessary, to the nearest thousandth.

\newline

w \approx

Posted 10 months ago

Question

18 \cdot 2^{5 t}=261

\newline

What is the solution of the equation?

\newline

Round your answer, if necessary, to the nearest thousandth.

\newline

t \approx

Posted 10 months ago

Question

-4 \cdot 3^{6 w}=-1750

\newline

What is the solution of the equation?

\newline

Round your answer, if necessary, to the nearest thousandth.

\newline

w \approx

Posted 10 months ago

Question

20 \cdot 7^{3 y}=5

\newline

What is the solution of the equation?

\newline

Round your answer, if necessary, to the nearest thousandth.

\newline

y \approx

Posted 10 months ago

Question

10 \cdot 3^{\frac{5 t}{4}}=800

\newline

What is the solution of the equation?

\newline

Round your answer, if necessary, to the nearest thousandth.

\newline

t \approx

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant