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

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Answer 1 · 2016-11-24T17:45:07

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

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:
![Desmos.com]( useruploads.socratic.org )

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