Answer:
log(48) = 1.68124
Step-by-step 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:
[tex]48=3*(2^4)[/tex]
so now we can find the log of 48 using the properties of logarithms;
[tex]log(48)=log(3*2^4)=log(3)+log(2^4)=log(3)+4*log(2)[/tex]
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:
[tex]log(48)=log (3)+4*log(2)=0.47712+4*0.30103=1.68124[/tex]
