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Hi,

There is this rule in logarithms that says: log x^n = n log x

log √x is originally log x^(1/2)

so that's equal to 1/2 log x :)

Hope this helps ;)

Because log√x is the same thing as writing logx^1/2. Therefore, log√x = logx^1/2. This is the left side. Now on the right side 1/2logx is the same thing as writing logx^1/2 as well. So basically, any number in front of the log sign like 5logx, must change to logx^5. Any number in front of the log sign becomes an exponent. So to sum this all up, log√x when simplified equals logx^1/2. logx^1/2=logx^1/2

An exponent on everything inside a log can be moved out front as a multiplier.