2. Find the value of x for which (5/9)⁴×(5/9)‐⁷=(5/9)²x,‐¹
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Answer:
X = 9/5
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Answer:
(5/9)^4×(5/9)^-7=(5/9)^2x^-1
or, 5^4×9^-4×5^-7×9^7=25/81 (1/x)
or, 5^(4-7)×9^(7-4)=25/81x
or, 5^-3×9^3=(5/9)^2×(1/x)
or, 5^-3×5^-2×9^3×9^2=1/x
or 5^-5×9^5=1/x
or (9/5)^5=1/x
or 18.89=1/x
or, x= 0.0529
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