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NEED MATH HELP!!!!
( with the 2 problems I missed)

NEED MATH HELP!!!! ( with the 2 problems I missed)-example-1

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Answer:


t=7.4years

Explanation:

Let's clear t from the equation
N=16.10^(0.15t). In order to clear t, we have to apply
log_(10) (x) in both side of the equations.


log_(10)N=log_(10)(16.10)^(0.15t)

By using properties of the logarithm


log_(10) (a.b)}= log_(10)a+log_(10)b

We obtain:


log_(10)N=log_(10)(16)+log_(10) (10^(0.15t))

Ordering using the logarithm property
log_(10)a^(n) =nlog_(10)a and
log_(10) 10=1


log_(10)N=log_(10)(16)+0.15tlog_(10)10


log_(10)N=log_(10)(16)+0.15t

Clearing t


t=(log_(10)N-log_(10)(16))/(0.15) using the logarith property
log_(10)a-log_(10)b=log_(10)(a)/(b)

we obtain:


t=(log_(10)(N)/(16) )/(0.15)

The number of Elm trees is N = 204

Solving


t=(log_(10)(204)/(16) )/(0.15)\\t=(log_(10)12.75)/(0.15)=7.370

Round to the nearest tenths place
t=7.4years

User Jon Cursi
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