The equation is .
Solve the equation.
\ (Original equation)
(Logarithm property:
)
(Definition of logarithm:
,then
)
(Cross product)
(Multiply)
(Add
to each side)
(Apply additive inverse property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Quadratic roots formula)
(Substitute
and
)
(Multiply)
(Evaluate powers)
(Use caluculator:
)
and
(Separate solutions)
and
(Simplify)
Check solution for -values.
Case (i):
(Original equation)
(Substitute
)
(Simplify)
Case (ii):
(Original equation)
(Substitute
)
Since and
are undefined and
and
an extraneous solutions.
There is no solution.