Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of x.
log(4^x)(2^a) = 3
Where (4^x) is the base.
log 4^x (2^a) = 3 using the change of base rule we have
log 2^a
______ = 3
log 4^x
a log 2
________ = 3
x log 4
x log 2^2
2x log 2
a
__ = 3
2x
a = 3*2x
a = 6x