Solve equations using logarithms and exponentials

Solving Exponential Equations You can use logs to solve exponential equations, start by writing in log form.

Solving Natural Logs Define: Natural Logarithm – a logarithm with base “e” You solve natural logs the same way as any other log. SOLVE

Solving Log Equations You can use exponential equations to solve logs To solve a log equation first write as one log (if possible), then write in expo. form to solve. If you don’t see the base it’s base 10

How could you use Logs in the Real-World? Your lumber company has 1,200,000 trees. You plan to harvest 7% of the trees each year. How many years will it take to harvest half of the trees? After about 9 years and 6 months you will have harvested half of the trees.

Solving Exponential Equations You can use calc. to help solve exponential equations Set equal to zero Graph and find where it crosses the x-axis **Hint: also graph y=0 and find where the two lines intersect. **

practice Pg 473 #15-25 odd #32-35 #40-43 Pg 473 #1-4, 7-12, 36-39, 49