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