If log _{x} y=100 and log _{2} x=10, then the | vedclass

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(C) Given equations are $\log _{x} y=100$ and $\log _{2} x=10.$Using the change of base property,$\log _{a} b 	imes \log _{b} c = \log _{a} c.$Multip

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$2^{1000}$

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(C) Given equations are $\log _{x} y=100$ and $\log _{2} x=10.$Using the change of base property,$\log _{a} b 	imes \log _{b} c = \log _{a} c.$Multiplying the two given equations:$\log _{2} x 	imes \log _{x} y = 10 	imes 100$$\log _{2} y = 1000$By the definition of logarithm,if $\log _{a} b = c,$ then $b = a^{c}.$Therefore,$y = 2^{1000}.$

If $\log _{x} y=100$ and $\log _{2} x=10,$ then the value of $y$ is

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