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Maths-

General

Easy

Question

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 6 to the power of x minus 3 to the power of x minus 2 to the power of x plus 1 over denominator x squared end fraction$

$\log 3 \times \log 6$
$\log 2 \times \log 3$
$\log 2 \times \log 6$
$\log 3 + \log 2$

hint Hint:

In the question we will simplify the equation till we get it in a proper form.

The correct answer is: $log space 2 cross times log space 3$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator 6 to the power of x minus 3 to the power of x minus 2 to the power of x plus 1 over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator 3 to the power of x left parenthesis 2 to the power of x minus 1 right parenthesis minus 1 left parenthesis 2 to the power of x minus 1 right parenthesis over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator open parentheses 3 to the power of x minus 1 close parentheses open parentheses 2 to the power of x minus 1 close parentheses over denominator x. x end fraction equals log space 3. space log space 2$

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