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? asked in Science & MathematicsMathematics · 5 years ago

log square root of (10) + 1/3 log 1/100 Find the exact value?

I found two answers, they equal the same but i'm not sure which is the exact value

Is it: log square root of (10) - 2/3

or: -1/6?

1 Answer

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  • ?
    Lv 7
    5 years ago

    log(√10) + 1/3 log (1/100)

    = ½ log(10) + 1/3 log(10⁻²)

    = ½•1 + 1/3•(-2)

    = 1/2 -2/3 = -1/6

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