On the board log(xy) should not have base a since it was not written for the rest of the equation.
Also, ln xÂ³(xÂ² + 3 )^(1/4) should be written as ln [xÂ³(xÂ² + 3)]^(1/4). Only then xÂ³ will also be raised to the power of 1/4.
How to use properties of logs to expand an expression with roots
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Questions answered by this video:
How are Natural logarithms written?
What is log xâµ equal to ?
What can you say about the laws of Natural Logarithms?
Based on the above example and using the Laws of Natural Logarithms rewrite lnâ(xÂ²(xÂ³ +2))
Currently 3.0/5 Stars.
A challenging example to attempt as it incoperates more than one law.