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Worksheets

Assessment

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

It is consider as the most important numbers in Mathematics. The first few digits are 2.71828.

a)

e (Euler's number)

b)

∏ (pi)

c)

i (imaginary number)

2.

Who is the most famous Mathematician in "The Number e"?

a)

John Napier

b)

Jacob Bernoulli

c)

Leonhard Euler

3.

Given f(x)=ex, evaluatef(2), rounding to two decimal places.Given\ f(x)=e^x,\ evaluatef(-2),\ rounding\ to\ two\ decimal\ places.  ,

a)

0.7408182

b)

0.1353353

c)

0.3678794

4.

Given f(x)=ex, evaluatef(0.25), rounding to two decimal places.Given\ f(x)=e^x,\ evaluatef(0.25),\ rounding\ to\ two\ decimal\ places.  

a)

1.2840254

b)

0.3678794

c)

0.7408182

5.

Sketch the graph of each natural exponential function f(x) = 2e0.24xf\left(x\right)\ =\ 2e^{0.24x}  .

a)
b)
6.

What is the inverse of exponential function?

a)

logarithmic function

b)

exponential function

c)

linear function

7.

Rewrite 25 = 322^5\ =\ 32  in logarithmic function.

a)

log232 = 5\log_232\ =\ 5  

b)

 log52 = 32\ \log_52\ =\ 32  

c)

log532 = 2\log_532\ =\ 2  

8.

Rewrite 82 =648^2\ =64   in logarithmic form.

a)

 log264 = 8\ \log_264\ =\ 8  

b)

log864 = 2\log_864\ =\ 2  

c)

log648 = 2\log_{64}8\ =\ 2  

9.

Rewrite 73 = 3437^3\ =\ 343  in logarithm form.

a)

log3343 = 7\log_3343\ =\ 7  

b)

log3437 = 3\log_{343}7\ =\ 3  

c)

log7343 = 3\log_7343\ =\ 3  

10.

Evaluate log816 \log_816\ .

a)

log816 = 43\log_816\ =\ \frac{4}{3}  

b)

 log816 = 13\ \log_816\ =\ \frac{1}{3}  

c)

log816 = 23\log_816\ =\ \frac{2}{3}