What is log_{10}(6)+log_{10}(9) ?

The solution to log_{10}(6)+log_{10}(9) is log_{10}(54)

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simplify log_{10}(6)+log_{10}(9)

simplify

lo g_{10} (6) + lo g_{10} (9)

lo g_{10} (54)

Decimal Notation

1.73239 \dots

Solution steps

lo g_{10} (6) + lo g_{10} (9)

Apply log rule:

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

lo g_{10} (6) + lo g_{10} (9) = lo g_{10} (6 \cdot 9)

= lo g_{10} (6 \cdot 9)

Multiply the numbers:

6 \cdot 9 = 54

= lo g_{10} (54)

ln (e^{3 x}) + ln (x^{3}) - ln (3 x)

ln (\frac{1}{1 + 1})

lo g_{4} (16 x)

ln (5) + 2 ln (x) - 11 ln (x^{2} + 5)

ln (\frac{4}{7})

What is log_{10}(6)+log_{10}(9) ?
The solution to log_{10}(6)+log_{10}(9) is log_{10}(54)