The equation is .
Solve the equation.
\ (Original equation)
(Definition of logarithm:
,then
)
(Add
to each side)
(Apply additive inverse property:
)
(Factors)
(Group of the factors)
(Take out the common factors)
or
(Zero product property)
or
(Simplify)
Check solution for -values.
Case (i):
\ (Original equation)
(Substitute
)
(Definition of logarithm:
,then
)
(Substitute:
)
(Subtraction)
Case (ii):
\ (Original equation)
(Substitute
)
(Definition of logarithm:
,then
)
(Substitute:
)
(Subtraction)
The values are and
.
The values of are
and
.