How can logarithms be graphed with different bases?

Since logs and exponents are inverse functions, You can get the table for the exponential form and then switch the x and y values.
Ex. log base 2 x, get values for 2^x, then switch x & y

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erinna erinna · Answer 2 · 2019-08-08T07:55:18+02:00

Answer:

The steps for graphing the logarithmic functions with different bases are shown below.

Step-by-step explanation:

Let the logarithmic function is defined as

[tex]y=\log_ax[/tex]

where, x and y are variables, a is the base of logarithmic function.

The steps for graphing the logarithmic functions with different bases are:

1. Using the change base formula, rewrite the given function.

[tex]y=\frac{\log x}{\log a}[/tex], where, [tex]\log a\neq 0\Rightarrow a\neq 1[/tex].

2. Find the y values for different values of x.

3. Create the table of values.

4. Plot the ordered pairs of table in the coordinate plane.

5. Joint the points by a free hand curve.