solve simultaneously the equations
logyx-4logxy=0
log8x+log8y=1
tks for ur help
In your 2nd equation, all the logarithms have the same base. So use the identity:
And then take the exponential of both sides!
In the first question it's a bit trickier since they have different exponents. But you can use the following rule to write one of the logarithms in ANY base you like (although it would help if you put them into the same base as the other logarithm in the equation:
And you simply get to choose what k is.
I recommend you take and turn it into . Once you plug this back into the equation, it should be easy to solve using the basic laws of logarithms.