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

Nov 24, 2016

Use the property of logarithms that allows you to convert to different bases: ${\log}_{b} \left(f \left(x\right)\right) = {\log}_{c} \frac{f \left(x\right)}{\log} _ c \left(b\right)$

#### Explanation:

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

$y = \left(\frac{1}{\ln} \left(2\right)\right) \ln \left(x\right) + 3$

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

$y = \left(\frac{1}{\log} _ 10 \left(2\right)\right) {\log}_{10} \left(x\right) + 3$

Here is a graph of the function: