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The value of $5872 \times 0.058$ is ________.

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333.84

383.4

338.84

343.44

answer is C.

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Detailed Solution

Let

x =

5872 \times 0.058

Taking log on both sides, we get
log

x

= log (

5872 \times 0.058

)
log

x

= log (

5872)

+ log (0.058)
log x = log (58.72

\times 10^{-}

) + log (58

\times 10^{- 3}

)
log x = log (58.72) + log

(10^{2}

) + log (58) + log

(10^{- 3}

)
log x = log (58.72) + 2 log(10) + log(58) – 3 log (10)
log x = 1.77 + 2 + 1.76 – 3
log x = 2.53
Taking antilog on both sides, we get
x = antilog (2.53)
x = 338.84
Thus, (3) is the correct option.

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