What is log_{10}((85347\times 15274)/(125386)) ?

The solution to log_{10}((85347\times 15274)/(125386)) is log_{10}(651795039)-log_{10}(62693)

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simplify log_{10}((85347\times 15274)/(125386))

simplify

lo g_{10} (\frac{85347 \cdot 15274}{125386})

lo g_{10} (651795039) - lo g_{10} (62693)

Decimal Notation

4.01689 \dots

Solution steps

lo g_{10} (\frac{85347 \cdot 15274}{125386})

Cancel

\frac{85347 \cdot 15274}{125386} : \frac{651795039}{62693}

= lo g_{10} (\frac{651795039}{62693})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{651795039}{62693}) = lo g_{10} (651795039) - lo g_{10} (62693)

= lo g_{10} (651795039) - lo g_{10} (62693)

lo g_{10} (3) + lo g_{10} (6) - 2 lo g_{10} (4)

\frac{1}{4} ln (2)

3 ln (x) + 5 ln (y) - 4 ln (z)

ln (14 x y)

\frac{lo g _{10} ( 4 )}{lo g _{10} ( 5 ) - lo g _{10} ( 4 )}

What is log_{10}((85347\times 15274)/(125386)) ?
The solution to log_{10}((85347\times 15274)/(125386)) is log_{10}(651795039)-log_{10}(62693)