Exponential And Logarithmic Equations Worksheet Page 2
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3II. Logarithmic Equations (pp. 445 – 447) (*Always check these… there are many possible
solutions that don’t work because they make the argument a negative number… they aren’t in the
domain.)
We will use the Identity Property again, but in reverse for this type of log equation with logs (lns)
in all terms.
Ex. Solve: log (
4) log (
2) log
(Notice that every term has a log)
x
x
x
+
−
−
=
a
a
a
(Condense logs on each side)
(Take the logs off)
Ex. Solve: log(
4) log(
3) log(14 )
k
k
k
+
+
+
=
Ex. Solve:
log (
5) 1 log (
1)
(Notice that some terms have a log… these must be
s
s
+
= +
+
3
3
condensed, then rearranged into the exponential form
using the definition.)
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