Question 942813: How do you condense the expression of 4ln3+1/2lnx-ln5
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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