Rewriting
Word Problems
Expanding & Condensing
Solving Exponential Equations
Solving Log Equations
100

Rewrite 142=196 in log form.

What is log14196=2?

100

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

What is $400?

100

Expand logx3y5

What is 3logx+5logy?

100

Solve. 104x=72

What is 0.4643?

100

Solve. log(5x+2)=3

What is 199.6?

200

Rewrite 3-2=1/9 in log form.

What is log31/9=-2?

200

Dylan invested $7,200 in an account paying an interest rate of 2.3% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?

What is $9481?

200

Condense 4logx-9logy

What is logx4/y9?

200

Solve. 13*3x=50

What is 1.2262?

200

Solve. log(2x-4)=1/2

What is 3.5811?

300

Rewrite log5(1/25)=-2 in exponential form

What is 5-2=1/25?

300

Donna is going to invest in an account paying an interest rate of 4.7% compounded continuously. How much would Donna need to invest, to the nearest hundred dollars, for the value of the account to reach $30,000 in 10 years?

What is $18800?

300

Expand logzy2/x

What is logz+2logy-logx?

300

Solve. 4.6=2x+2

What is 1.3785?

300

Solve. log6(6x)+4log62=0

What is 1/96 or 0.0104?

400

Rewrite log1000=3 in exponential form.

What is 103=1000?

400

Madeline invested $960 in an account paying an interest rate of 3.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,250?

What is 8 years?
400

Condense 2logb3+logb2

What is logb32*2?

400

Solve. 710=260(1.025)x-2+330

What is 17.3685?

400

Solve. 6ln(8x+9)-16=-34

What is -1.1188?

500

Rewrite e4=54.5982 in log form.

What is ln(54.5982)=4?

500

Emma invested $19,000 in an account paying an interest rate of 4.2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $40,000?

What is 18 years?

500

Expand logz4/y2x5

What is 4logz-2logy+5logx? 

500

Solve. 12=650(0.5)x/2

What is 11.5186?

500

Solve. logx+4(3x2-8)=2

What is 6 and -2?

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