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
.