general Maths Puzzle

What values of x,y & z satisfies 3^x+4^y=5^z,
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general Other Question

Find all ordered pairs (a,b) of positive integers such that |3^a-2^b|=1. The digit at units place of a two digit number is increased by 100% and ten's digit of the same number is increased by 50% The new number thus formed is 9 more than the original number. What is the original number?