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Please show your work for each of these problems

Useful Log Rules:

Part (a)

All logs shown below are base 3.

log(500) = log(5*100)

log(500) = log(5*10^2)

log(500) = log(5)+log(10^2) use log rule 1

log(500) = log(5) + 2*log(10) use log rule 3

log(500) = 1.4650 + 2*2.096 substitution

log(500) = 5.657

Part (b)

All logs shown below are base 3.

log(2) = log(10/5)

log(2) = log(10) - log(5) use log rule 2

log(2) = 2.096 - 1.4650   substitution

log(2) = 0.631

she drove 134 miles

step-by-step explanation:

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step-by-step explanation: