What is log_{10}(18)+log_{10}(8)-2log_{10}(25) ?

The solution to log_{10}(18)+log_{10}(8)-2log_{10}(25) is log_{10}(144/625)

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simplify log_{10}(18)+log_{10}(8)-2log_{10}(25)

simplify

lo g_{10} (18) + lo g_{10} (8) - 2 lo g_{10} (25)

lo g_{10} (\frac{144}{625})

Decimal Notation

- 0.63751 \dots

Solution steps

lo g_{10} (18) + lo g_{10} (8) - 2 lo g_{10} (25)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

- 2 lo g_{10} (25) = - lo g_{10} (2 5^{2})

= lo g_{10} (18) + lo g_{10} (8) - lo g_{10} (2 5^{2})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (18) + lo g_{10} (8) = lo g_{10} (18 \cdot 8)

= lo g_{10} (18 \cdot 8) - lo g_{10} (2 5^{2})

Apply log rule:

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

lo g_{10} (18 \cdot 8) - lo g_{10} (2 5^{2}) = lo g_{10} (\frac{18 \cdot 8}{2 5 ^{2}})

= lo g_{10} (\frac{18 \cdot 8}{2 5 ^{2}})

\frac{18 \cdot 8}{2 5 ^{2}} = \frac{144}{625}

= lo g_{10} (\frac{144}{625})

lo g_{10} (p) + 2 lo g_{10} (8 s)

ln (x (x - 1))

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{3 x}})

lo g_{10} (6) + lo g_{10} (4)

3 ln (3) + 3 ln (c)

What is log_{10}(18)+log_{10}(8)-2log_{10}(25) ?
The solution to log_{10}(18)+log_{10}(8)-2log_{10}(25) is log_{10}(144/625)