Given: 3^(x − 4) = 6
To find: Solution to the given expression using change of base formula
Answer: The given expression is 3^(x − 4) = 6 Taking log on both sides, we get - log(3^(x − 4)) = log6
(x - 4) log3 = log6
x - 4 = log6/ log3
x - 4 = (∵ change of base formula)
x - 4 = 1.631
x = 5.631
Thus x = 5.631 is the answer in the nearest thousandth.
