pls help #log #mathematics #class 11 #IIT-JEE
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Here's the solution to your given problem
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Step-by-step explanation:
3 ^ (2log3 x) - 2x - 3 = 0
now
2log3 x = log3 x² [ log property ]
3^(log3 x²) = x² [ again log property; a ^ loga x = x ]
Hence equation is
x² - 2x - 3 = 0
x² - 3x + x - 3 = 0
(x-3)(x+1) = 0
x = 3, as -1 cannot be taken into consideration
Hence, 1 value is satisfying the equation
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