What is log_{10}(7)+log_{10}(18)-log_{10}(9) ?

The solution to log_{10}(7)+log_{10}(18)-log_{10}(9) is log_{10}(14)

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simplify log_{10}(7)+log_{10}(18)-log_{10}(9)

simplify

lo g_{10} (7) + lo g_{10} (18) - lo g_{10} (9)

lo g_{10} (14)

Decimal Notation

1.14612 \dots

Solution steps

lo g_{10} (7) + lo g_{10} (18) - lo g_{10} (9)

Apply log rule:

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

lo g_{10} (7) + lo g_{10} (18) = lo g_{10} (7 \cdot 18)

= lo g_{10} (7 \cdot 18) - lo g_{10} (9)

Apply log rule:

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

lo g_{10} (7 \cdot 18) - lo g_{10} (9) = lo g_{10} (\frac{7 \cdot 18}{9})

= lo g_{10} (\frac{7 \cdot 18}{9})

Cancel

\frac{7 \cdot 18}{9} : 14

= lo g_{10} (14)

lo g_{4} (x) - 5 lo g_{4} (y) + 2 lo g_{4} (z)

ln (5) + 6 ln (x) - 5 ln (y)

ln (\frac{x}{a} \cdot e^{\frac{- x ^{2}}{( 2 a )}})

lo g_{10} (\frac{x ( x + 7 )}{( x + 3 ) ^{4}})

What is log_{10}(7)+log_{10}(18)-log_{10}(9) ?
The solution to log_{10}(7)+log_{10}(18)-log_{10}(9) is log_{10}(14)