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IF 2^{x}. 3^{2x}=100 ( Given log 2=0.3010 and log 3=0.4771)

Question

IF $2^{x} . 3^{2 x} = 100$ ( Given log 2=0.3010 and log 3=0.4771), then value of X is

1,49

1.59

1.69

1.79

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2^{x} . 3^{2 x} = 100

( Given log 2=0.3010 and log 3=0.4771), then value of X is

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Text solutionVerified

2^{x} . 3^{2 x} = 100

taking log both sides, we have

x l o g 2 + 2 x l o g 3 = 2

putting the value of log2 and log3 , we have

x .0.30 + 2 x .0.47 = 2

x = \frac{2}{0.30 + 2.0.47}

x = 1.59

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Question Text	IF $2^{x} . 3^{2 x} = 100$ ( Given log 2=0.3010 and log 3=0.4771), then value of X is
Answer Type	Text solution:1
Upvotes	150