log10_{10}102 = 0.3010 and log10_{10}103 = 04771
log104.5=log10_{10} 4.5 = \log_{10}104.5=log10 (3×32\frac{3 \times 3}{2}23×3)
log10_{10}10 3 + log10_{10}10 3 - log10_{10}102 = 0.4471 + 0.771 - 0.3010
= 0.6532