find the value of x: [3/4] raised to x-2 = [27/64] raised by 4-3x?
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4
Answer:
x = 1.4
Step-by-step explanation:
We know that
27 = 3³ and 64 = 4³
Therefore [3/4] ^ (x-2) = [3³/4³] ^ (4-3x)
Therefore [3/4] ^ (x-2) = [3/4] ³ ^ (4-3x)
Therefore [3/4] ^ (x-2) = [3/4] ^ 3(4-3x)
As the bases are same, the powers wil also be the same.
Therefore (x-2) = 3 (4-3x)
Therefore (x-2) = (12 - 9x)
Therefore ( 10x ) = 14
x = 1.4
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Answer:
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