The equation is .
Solve the equation.
\ (Original equation)
(Logarithm product property:
)
(Definition of logarithm:
,then
)
(Substitute:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
(Take square root on each side)
(Cancel square and root terms)
and
(Simplify)
Check solution for -values.
Case (i):
(Original equation)
(Substitute
)
(Logarithm product property:
)
(Definition of logarithm:
,then
)
(Substitute:
)
(Simplify)
Case (ii):
(Original equation)
(Substitute
)
(Logarithm product property:
)
(Definition of logarithm:
,then
)
(Substitute:
)
(Simplify)
The solutions are and
.