Question

The function f(x) = 2^x is a logarithmic function. True or false

Answer 1

Does it look like a logarithmic function to you?

Answer 2

True ?

Answer 3

What does a logarithmic function have in it?

Answer 4

Exponential function: \(f(x) = k^x\)

Logarithmic function: \(f(x) = \log_b x\)

Answer 5

I think it's false am I right ?

Answer 6

A logarithmic function will have a logarithm in it :-)

Answer 7

So it's true ?

Answer 8

No, it is not true. You have an exponential function there. A logarithmic function will have \(\log\) or \(\ln\) in it somewhere.

Here's a plot of what you have, compare it with the drawings @rock_mit18 provided:

Answer 9

In the general exponential and logarithmic equations I wrote above, notice the exponential equation is just like yours when you replace k with 2.

Answer 10

Can you still help me ?