Question

If log2=0.30103 and log3=0.47712 evaluate log 48

Answer 1

log(48) = 1.68124

Explanation:

Notice that the number 48 can be written as the product of 3 times 16, and also that 16 can be written as "2" to the power 4:

`48=3*(2^4)`

so now we can find the log of 48 using the properties of logarithms;

`log(48)=log(3*2^4)=log(3)+log(2^4)=log(3)+4*log(2)`

Since we are given specific values for log(3) [0.47712] and log(2) [0.30103], we can use these values in the expression above to get the numerical answer we are seeking:

`log(48)=log (3)+4*log(2)=0.47712+4*0.30103=1.68124`