What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
Accepted Solution
A:
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm; Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm; Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm: