Changing base of a logarithm by taking a square root from base?
From my homework I found
and besides that an explanation that to this was done by taking a square root of the base. I fail to grasp this completely. Should I need to turn into base 3, I'd do something like
but this is a far cry from what I've given as being the correct answer.
Substituting some values to x and playing with my calculator I can see that the answer given as correct is correct whereas my attempt fails to yield the correct answer.
Now the question is, what are correct steps to derive from ? How and why am I allowed to take a square root of the base and the exponent?