Question

How do you sketch the graph of `y=log_2x+3`?

Answer 1

Use the property of logarithms that allows you to convert to different bases: `log_b(f(x)) = log_c(f(x))/log_c(b)`

Explanation:

If you want to use the natural logarithm, there is the equation converted to base e:

`y = (1/ln(2))ln(x) + 3`

If you prefer base 10, here is the equation converted to that base:

`y = (1/log_10(2))log_10(x) + 3`

Here is a graph of the function: