The equation is
.
Solve the equation.
\
(Original equation)
(Substitute:
)
(Power of a powers:
)
Equality for exponential functions property:
if and only if
.

(Subtract
from each side)
(Apply additive inverse property:
)
(Factors)
(Group of the factors)
(Take out the common terms)
or
(Zero product property)
and
(Separate solutions)
Check solution for
-values.
Case (i):
\
(Original equation)
(Substitute
)
(Substitute:
)
(Evaluate powers)
(Subtract:
)
Case (ii):
\
(Original equation)
(Substitute
)
(Substitute:
)
(Evaluate powers)
(Subtract:
)
The values are
and
.
The values of
are
and
.