CAT 2018 Question Paper Shift 1 Solved Paper

Question : 91 of 100

Marks: +1, -0

If x is a positive quantity such that

2^x= 3^{\log_{5} 2}

, then x is equal to

Solution:

Given that:

2^{x}=3^{\log _{5} 2}

⇒ 2^{x}=2^{\log _{s} 3}

⇒ x=\log _{5} 3

⇒ x=\log _{5} \;{3^{*} 5}/{5}

⇒ x=\log _{5} 5+\log _{5} \;{3}/{5}

⇒ x=1+\log _{5} \;{3}/{5}

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