1) Evaluate: log66√6
I thought that by the power of a power law, I can make the logarithm:
= 0.5 log6(6)(6)
= 0.5 log6(36)
= 0.5 log6(6)2
= (2)(0.5) log66
However, the answer is 1.5 and I'm not sure where I went wrong; any corrections/hints?
2) Write each expression as a single logarithm; assume that all the variables represent positive numbers
1 + log3x2
I really don't know what to do with this one, and the answer is log33x2.
Please and thank you!