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6.06 The natural logarithm

Interactive practice questions

Which of the following logarithmic functions is known as the natural log?

The logarithmic function with base $\pi$π.

A

The logarithmic function with base $1$1.

B

The logarithmic function with base $\frac{1}{e}$1e.

C

The logarithmic function with base $e$e.

D

The logarithmic function with base $10$10.

E
Easy
< 1min

State the value of $\ln e$lne.

Easy
< 1min

Which of the following are the correct logarithmic forms of the equation $e^x=3$ex=3? Choose all the correct options.

Easy
< 1min

Find the value of $5\log_ee$5logee.

Easy
< 1min
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Outcomes

4.1.6

identify the qualitative features of the graph of y=log_a ⁡x (a>1) including asymptotes, and of its translations y=log_a ⁡x + b and y=log_a ⁡(x-c)

4.1.9

define the natural logarithm ln ⁡x=log_e ⁡x

4.1.10

examine and use the inverse relationship of the functions y=e^x and y=lnx

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