How do you calculate log _24 356log24356?

1 Answer
Jun 22, 2016

1.849

Explanation:

Use the change of base law:

log_24 356 = (log 356)/(log24)log24356=log356log24

This is calculated on a calculator to give: 1.849

The same result can be obtained from using index form first:

Let log_24 356 = xlog24356=x

24^x = 35624x=356

log24^x = log356log24x=log356

xlog24 = 356xlog24=356

x = (log356)/(log24) = 1.849x=log356log24=1.849