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1 12.If(21.4)" = (0.00214)' = 100, then the value ofis1/aminus1/b​

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The ANSWER is 2.Step-by-step EXPLANATION:GIVEN that(21.4)a=(0.00214)b=100(21.4)a=100,(0.00214)b=100Applying LOG on both the SIDES, we geta=log21.4​100,b=log0.00214​100∴a1​−b1​=log21.4​1001​−log0.00214​1001​, ∵ [loga​b=logb​a1​]⇒a1​−b1​=log100​21.4−log100​0.00214∴a1​−b1​=log100​0.0021421.4​=log100​1002=2log100​100=2



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