Question 942813
4 * ln(3) + 1/2 * ln(x) - ln(5) becomes:
ln(3^4) + ln(x^(1/2)) - ln(5) becomes:
ln(81) + ln(sqrt(x)) - ln(5) becomes:
ln((81 * sqrt(x)) / 5)


you can prove this is correct by allowing x to be any value and then evaluating the original expression and the final expression to see that they provide the same answer.


for example, when x = 100:
4 * ln(3) + 1/2 * ln(100) - ln(5) becomes equal to 5.087596335 and:
ln((81 * sqrt(100)) / 5) becomes equal to the same number.


this confirms the solution is valid.