Good morning,
Please, I'm currently learning logarithms after a long time. I got stuck with an apparently simple problem that I have no idea how to solve, namely:
"Being lg2 and lg4 the logarithmics functions of base 2 and 4, respectively. It's known that lg2(x) + lg4(y) = 2 and lg4x + lg2y = 1. Calculate x + y"
I've tried to solve it by adding the two equations (changed both x and y bases), but I had this weird feelings that I'm messing up everything and will end up with an even weirder solution.
How should I proceed in such a case?
ANY help will be highly appreciated!
Thank you so much!
Please, I'm currently learning logarithms after a long time. I got stuck with an apparently simple problem that I have no idea how to solve, namely:
"Being lg2 and lg4 the logarithmics functions of base 2 and 4, respectively. It's known that lg2(x) + lg4(y) = 2 and lg4x + lg2y = 1. Calculate x + y"
I've tried to solve it by adding the two equations (changed both x and y bases), but I had this weird feelings that I'm messing up everything and will end up with an even weirder solution.
How should I proceed in such a case?
ANY help will be highly appreciated!
Thank you so much!