math
posted by John Makotamo on .
Calculate without using tables or calculators log 450 and log 324 given log 2 =0.3010 and log 3 =0.4771

I will do the second one
324 = 4(81)
= 2^2 x 3^4
log324 = log(2^2 x 3^4)
= log 2^2 + log 3^4
= 2log2 + 4log3
= 2(.3010) + 4(.4771)
= .6020 + 1.9084
= 2.5104
log(450) = log(10x45)
= log(10x9x5)
= log10 + log 3^2 + log5 > need log5
other combinations:
450 = 5^2 x 9x2 = 5^2 x 3^2 x 2  still need log 5