Posted by **Shreya** on Wednesday, January 23, 2013 at 8:20pm.

Laws of Logarithms

Evaluate: without using a calculator, except for the first one. The 5.6 is supposed to be subscript, but i don't know how to make it small.

4log(5.6)84

log84/log5.6

Do I multiply this by four or something? both of the logs?

- Pre Calculus 12 -
**Reiny**, Wednesday, January 23, 2013 at 9:39pm
One major rule of logs, used when changing bases is

log _{b}a

= log a / log b

so 4 log _{5.6}84

= 4(log 84 / log 5.6)

= 4(1.924279.../.74818..) = 10.2877

- Pre Calculus 12 -
**Shreya**, Wednesday, January 23, 2013 at 10:09pm
Thanks very much Reiny :)

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