Subject: characteristics of logs
Name: andrew strauss
Question: The characteristic of a logarithm is the integral part of the logarithm. The mantissa is the decimal part. So, for example and thus the characteristic is 4 and the mantissa 0.94694. Calculating the mantissa usually involves a calculator or computer but calculating the characteristic can be straightforward. In the problem above suppose that then, but the definition of the logarithm function But 8^{2} = 64 8^{3} = 512 8^{4} = 4096 8^{5} = 32768 Thus y is between 4 and 5 and hence the characteristic of log_{8}(29345) is 4. Cheers,Harley
