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How can you expand and condense logarithms that have a radical sign?

I would like to see if i’m on the track in my algebra two class. Since we’re currently on our winter break, I can’t contact or do not wish to break my teacher’s relaxing peace, so can you assist me.Can you provide a logarithmic example with a radical sign. Feel free ask questions, and thank you so much for your time and knowledge. I really appreciate it.

convert the radical to an exponent.

Example : log sqrt(x) is the same as log x^1/2

using the formula log x^k = klog x , you would have (1/2)log x.

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