# math

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Calculate without using tables or calculators log 450 and log 324 given log 2 =0.3010 and log 3 =0.4771

• math -

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

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