Exponential And Logarithmic Equations Worksheet (Page 3 of 3) in pdf

Exponential And Logarithmic Equations Worksheet Page 3

Summary of Solving Exponential or Log Equations: (p. 447)

( )

f x

(when b cannot be written as a power of a): Take the logs on both sides and use the

power rule to bring down f(x). (Ex. 1, 2, 3 pp. 443 – 445)

( )

f x

(when b can be written as a power of a ): Rewrite with the same base, bring down

the exponents and solve.

2. log

( )

(logs in some or only one of the terms): Change to the exponential form a

f x

=f(x).

3. log

( ) log

( )

(logs in all of the terms): Condense if needed, then solve f(x) = g(x) .

f x

g x

f(x)

4. It may be necessary to solve for (isolate) e

or log a

first, then solve.

III. Application

Ex. Find t to the nearest hundredth if $10,000 grows to $13,007.61 at 9.6% interest compounded

monthly.





*Use the compound interest formula

and solve for t.

A P









*When you get the answer for t with the lns/logs, use the calculator to find the answer directly.

Assignment:

Text: pp. 448 – 452 #5 – 17 odd, 21 – 37 odd, 65, 67, 71, 72

Exponential And Logarithmic Equations Worksheet Page 3