Question

Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(300).

Answer 1

4.1145

Explanation:

You can use the following formula to solve this kind of problems,

`log_(a)(b) + log_(a)(c) = log_(a)(bc)`

So, let's start of with log4_(300). Since the question have already gave log4_(3) =0.7925 and log4_(5) =1.1610. It means that you have to split the 300 into the simplest form where almost all of the numbers are 3 and 5.

`log_(4)(300) = log_(4)(4 * 5 * 3 * 5) \\ = log_(4)(4) + log_(4)(5) + log_(4)(3) + log_(4)(5) \\ = 1 + 1.1610 + 0.7925 + 1.1610 \\ = 4.1145`