What is log_{10}(512)-log_{10}(366) ?

The solution to log_{10}(512)-log_{10}(366) is log_{10}(256/183)

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simplify log_{10}(512)-log_{10}(366)

simplify

lo g_{10} (512) - lo g_{10} (366)

lo g_{10} (\frac{256}{183})

Decimal Notation

0.14578 \dots

Solution steps

lo g_{10} (512) - lo g_{10} (366)

Apply log rule:

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

lo g_{10} (512) - lo g_{10} (366) = lo g_{10} (\frac{512}{366})

= lo g_{10} (\frac{512}{366})

Cancel

\frac{512}{366} : \frac{256}{183}

= lo g_{10} (\frac{256}{183})

lo g_{10} (rs) - 3 lo g_{10} (p) + 7

ln (2) + ln (3)

5 ln (x) + ln (x + 1)

lo g_{10} (2) + 2 lo g_{10} (3) + 1

What is log_{10}(512)-log_{10}(366) ?
The solution to log_{10}(512)-log_{10}(366) is log_{10}(256/183)