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so in the first video of this section we looked at solving 2 to the power of X is equal to 5. and I mentioned that in going from exponential form to the logarithmic form which is X is log base 2 of 5. theres this intermediate step where we are logging both sides now in this case were logging both sides with base 2. so log base 2 of 2 to the X so log base 2 that side and log base 2 that side log base 2 of 5. and so from this line of working we get this line because log base 2 of 2 to the x is equal to X now the question is um did we need to take log base 2 of both sides could we have chosen another base to take can we solve 2 to the x is equal to 5 by instead taking log base 3 of both sides so if we did that we would have log base 3 of 2 to the x is equal to log base 3 of 5. so what we could do to solve this is we could use the power rule to bring the X down to the front so we could write that as X log base 3 of 2 is equal to log base 3 of 5. and then to get x equals I just need to d