Solving with Unlike Bases l Warm Ups on

Solving with Unlike Bases

l Warm Ups on the next 3 slides….

Solve. Graph. Condense.

Warm Up

The Common Logarithm l l l The base-10 logarithm is called the common logarithm. The common logarithm is usually written as logx. If we can manage to make everything into log base 10, we can use our calculators to solve.

For Example…. Solve

Solve:

Change of Base l There is a way to write equivalent logarithmic expressions with different bases. l There is a formula to find the change of base. l Let’s derive the change of base formula…. .

Let’s derive the change of Base Formula!

Change of Base Formula:

Evaluate to the nearest hundredth.

Natural Log

Warm Up: Find the final amount of money if you invested $6700 compounded monthly at 5. 4% for 20 years. $4500 compounded continuously at 7% for 20 years.

Warm Up: $1000 is invested at 15% per annum interest, compounded monthly. Calculate the minimum number of months required for the value of the investment to exceed $3000.