Question

if 2log x base y=6,then the relation between x and y​

Answer 1

.......x = y cube.....

Answer 2

SOLUTION

GIVEN

$\sf{ \:2 log_{y}(x) = 6 }$

TO DETERMINE

The relation between x and y

FORMULA TO BE IMPLEMENTED

$\sf{ log_{y}(x) = a \: \: \: gives \: \: x = {y}^{a} \: }$

EVALUATION

Here it is given that

$\sf{ \:2 log_{y}(x) = 6 }$

$\implies \sf{ \: log_{y}(x) = 3 }$

$\implies \sf{ x = {y}^{3} }$

Which is the required relation between x and y

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