If 27^(2x−1) = (243)^3, then what is the value of x?
If $ 27^{2x-1} = (243)^3 $ then what is the value of x?
यदि $27^{2x−1} = (243)^3 $हो, तो x का मान ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
3
27 = 3³ and 243 = 3⁵.
$27^{2x−1}$ = (243)³
$(3³)^{2x−1}$ = (3⁵)³
$3^{6x−3} $= 3¹⁵
Therefore,
6x − 3 = 15
6x = 18
x = 3
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