Example of log rules, Mathematics

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Example of Log Rules:

Y = ½ gt2 where g = 32

Solution:

y = 16 t2

Find y for t = 10 using logs.

log y = log10    (16 t2)

log10y = log10 16 + log10 t2

log10y = log10 16 + (2 log10 t)

log10y = 1.204 + 2 log10 10

log10y = 1.204 + 2 x 1

log10y = 3.204

but this means 103.204  = y

y = 1600


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