How do you solve #log_2 x + log_4 x + log_8 x + log_16 x = 25#?
2 Answers
Solution
Explanation:
We can start by converting all of the
Now we can pull
Notice that all of the denominators are powers of 2, so we can rewrite as;
Using the identity,
Now we can pull
We can rewrite all of the fractions in term of the lowest denominator.
Sum the terms in parenthesis.
We can combine all of the constant terms by multiplying both sides by the inverse of the fraction on the left hand side.
Combine the
Using the definition of a logarithm, we write this statement in terms of
Solve.