Solve the given equation, if necessay round to four decimal places

Question

log2 9+log2 a=log2 11

Answer 1

Hi Amy,

 

I am assuming that by writing log2 9 you mean that the 2 is the base, in other words it is read log of 9 base 2.

 

If that is the case then you should just know this important property of logs:     logc a + logc b = logc (ab)

 

therefore: log2 9+log2 a = log2 (9*a)

 

so log2 (9*a) = log2 11 and so 9*a=11 which gives you a=11/9= 1.2222