Conversions
Change of Base
Solutions to Exp Equations
Log Equations
Are you interested?
100

Convert this log statement to exponential form: Log2 32 = 5

What is 25 = 32?

100

Find log320 = x

What is 2.7268?

100

Find 4x=64.

What is 3?

100

Solve:  log (4x-3) = log 19.

What is 11/2?

100

Find the amount Rico must pay back if $25,000 is borrowed at 12% for 6 years if it's compounded monthly.

What is $51,177.48?

200

Convert this to logarithmic form: 45=1024.

What is log1024 = 5?

200

Find log4 9.

What is 1.585?

200

Find 3x = 21.

What is 2.771?

200

Solve:  log6 (x - 4) = log6 25

What is 29?

200

Calculate the amount in Brenda's account after 30 years if she invests $50,000 at 4% and it's compounded continuously.

What is 166,005.85?

300

Convert to exponential form: log3 81 = 4.

What is 34 = 81?

300

Find log8 85.

What is 5?

300

Find 7 = 23x.

What is 0.936?

300

Solve:  log x + log (x + 4) = log 12.

What is 2?

300

The amount Rico will pay if he borrows $180,000 for a house. The terms of the loan include a 4.75% interest rate, compounded quarterly, for 30 years.

What is $562,158.11?

400

Convert e3 = 20.09 to a logarithm statement.

What is ln 20.09 = 3?

400

Find log3 8.

What is 1.893?

400

Solve:  64y = 16y + 2.

What y = 2.

400

Solve:  log 5 - log (2x - 1) = 1.

What is 3/4?

400

Calculate the amount Ian invested if his account after 40 years is $67,957.05 and was invested at an annual interest rate of 2.5% compounded continuously. 

What is $25,000?

500

Convert ln 6 = x to an exponential equation.

What is ex = 6?

500

Find ln 10.

What is 2.303?

500

Solve:  3ex + 2 = 23.

What is 1.9459?

500

Solve:  log5 x + log5 (x + 24) = 2.

What is 1?

500

Kaden invested $1200 at an interest rate of 5.5% compounded monthly.  How long will it take him to double his investment?

What is 12.63 years?

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