How do you calculate $log _24 356$ ?

Question

1866 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-22T09:14:50

1.849

Use the change of base law:

$log_24 356 = (log 356)/(log24)$

This is calculated on a calculator to give: 1.849

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

Let $log_24 356 = x$

$24^x = 356$

$log24^x = log356$

$xlog24 = 356$

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

How do you calculate log _24 356log _24 356?