To simplify we need recall and apply the properties and laws of logarithms.
1)
We need consider the base of each logarithm and express the numbers in the parentheses to each base raised to a certain index. or exponent.
That is
As for the middle expression, the base and the number are equal so let us keep it for now.
Our expression now becomes,
Recall this law of logarithm,
Recall again that,
Therefore our expression becomes,
2) We use change of base to solve this logarithmic equation.
It will be easier and faster to change the base to 3.
Recall that,
We apply this law to obtain,
multiplying through by 2 gives,
We apply the multiplication law of exponents to obtain,
We take antilogarithms to get,
Hence x is 27.