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Logarithm Review

Growth and Decay Exponential Functions Logarithms and e Laws of Logs Exponential Equations & Changing Bases
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Final Question
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8-1

View Answer

8-1


1/8


-91/2

View Answer

-91/2


-3


Find x-1/2 when x = 256.

View Answer

Find x-1/2 when x = 256.


1/16


x-3(x5 + x3)

View Answer

x-3(x5 + x3)


x2 + 1


(-2n)2

-2n2

View Answer

(-2n)2

-2n2


-2


According to the equation A(t) = 1000(2)t/10, how much money did you invest?

View Answer

According to the equation A(t) = 1000(2)t/10, how much money did you invest?


$1000


According to the Rule of 72, how long will it take your money to double at 9%?

View Answer

According to the Rule of 72, how long will it take your money to double at 9%?


8%


The value of a $24,000 mathcine decreases 9% each year.  What will the machine be worth in 3 years?

View Answer

The value of a $24,000 mathcine decreases 9% each year.  What will the machine be worth in 3 years?


$18,100


According to the equation A(t) = 1000(1/2)t/4, how much will be left in 4 days?

View Answer

According to the equation A(t) = 1000(1/2)t/4, how much will be left in 4 days?


500


If h(0) = 5 and h(1) = 15, write an equation in the form h(x) = abx.

View Answer

If h(0) = 5 and h(1) = 15, write an equation in the form h(x) = abx.


h(x) = 5(3)x


Find e2 rounded to four decimal places.

View Answer

Find e2 rounded to four decimal places.


7.3891


Write log 31 = 1.49 in exponential form.

View Answer

Write log 31 = 1.49 in exponential form.


101.49 = 31


If $1000 is invested at 7% compounded continuously, how much money will there be after 5 years?

View Answer

If $1000 is invested at 7% compounded continuously, how much money will there be after 5 years?


$1419.07


logx(1/2) = -1

View Answer

logx(1/2) = -1


2


You invest $1 at 8% annual interest.  How  much would you have after one year if compounded monthly rounded to three decimal places?

View Answer

You invest $1 at 8% annual interest.  How  much would you have after one year if compounded monthly rounded to three decimal places?


$1.083


Break apart into separate logarithms.

logM2N

View Answer

Break apart into separate logarithms.

logM2N


2logM + logN


Write as a rational number or as a single logarithm.

log52 + log53

View Answer

Write as a rational number or as a single logarithm.

log52 + log53


log56


Write as a single log.

(1/2)ln25 - ln2

View Answer

Write as a single log.

(1/2)ln25 - ln2


ln (5/2)


Write as a single log.

logbM + logbN - 3logbP

View Answer

Write as a single log.

logbM + logbN - 3logbP


logb (MN/P3)


Simplify the expression.

101+2logx

View Answer

Simplify the expression.

101+2logx


10x2


3x = 81

View Answer

3x = 81


4


Solve for x.  Round to the nearest hundredth.

(1.06)x = 3

View Answer

Solve for x.  Round to the nearest hundredth.

(1.06)x = 3


18.85


Round to the nearest tenth.

log6 88

View Answer

Round to the nearest tenth.

log6 88


2.5


An investment is made at 7% annual interest compounded daily.  How long does it take to triple the investment?  Round tot he nearest tenth of a year.

View Answer

An investment is made at 7% annual interest compounded daily.  How long does it take to triple the investment?  Round tot he nearest tenth of a year.


15.7 years


You have 1 kilogram of an element that has a half life of 9.6 hours.  How long until there is only 1 gram?  Round to the nearest tenth of an hour.

View Answer

You have 1 kilogram of an element that has a half life of 9.6 hours.  How long until there is only 1 gram?  Round to the nearest tenth of an hour.


95.7 hours


Round to the nearest tenth of a year.  Tell how long it akes for $100 to become $1000 if it is invested at 8% interest compounded:

a. annually

b. quarterly

c. daily




View Answer

Round to the nearest tenth of a year.  Tell how long it akes for $100 to become $1000 if it is invested at 8% interest compounded:

a. annually

b. quarterly

c. daily


a. 29.9 years

b. 29.1 years

c. 28.8 years





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