Use the Laws of Logarithms to expand the expression ln4 Squa

Use the Laws of Logarithms to expand the expression. ln^4 Squareroot 4r^3 s

Solution

The given expression = ln (4r³s)^1/4 =1/4 ln (4r³s) = ¼( ln 4 + ln r³ +ln s) = 1/4 ln 4 +3/4 ln r +1/4 ln s = 0.3466 + ¼( 3 ln r + ln s) ( on rounding off to 4 decimal places)

Note:

Log a^b = b log a and log mn = log m +log n.