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If 3N=35×34 3 ^ N = 3 ^ 5 \times 3 ^ 43N=35×34, what is the value of NNN?
What value of NNN satisfies the equation
822811=8N? \frac { 8 ^ {22}} { 8 ^ {11}} = 8 ^ N? 811822=8N?
Given 3N=9103^N = 9 ^{10} 3N=910, what is the value of NNN?
Hint: Rewrite 9 as 32.3^2.32.
If xxx is a real number satisfying 14x=3 14 ^x = 3 14x=3, what is the value of 142x+1? 14 ^{2x + 1} ?142x+1?
xxx and yyy satisfy 2x=102^x = 102x=10 and 10y=12810 ^ y = 12810y=128. What is the value of xyxyxy?
Hint: Rewrite the "10" in 10y=12810^y = 12810y=128 by using the fact that 2x=10.2^x = 10.2x=10.
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