# How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 48#?

##### 1 Answer

Jan 12, 2016

≈ 3.524 (3 decimal places)

#### Explanation:

# log_b x/log_b a # (x > 1 )

In this case write

Other bases , apart from base 10 may be used. Base 10 is convenient as it can be evaluated on a calculator ( as of course can ln)

When using base 10 it is usual for it to be written without the 10.

using the log key on a calculator (this is to base 10 )