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Question 79
If $$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$, then x + y equals
Correct Answer: 13
Solution
$$5^x - 3^y = 13438$$ and $$5^{x - 1} + 3^{y + 1} = 9686$$
$$5^{x} + 3^{y}*15 = 9686*5$$
$$5^{x} + 3^{y}*15 = 48430$$
16*$$3^y$$=34992
$$3^y$$ = 2187
y = 7
$$5^x$$=13438+2187=15625
x=6
x+y = 13
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