What is 2log_{10}(6)-0.5log_{10}(9) ?

The solution to 2log_{10}(6)-0.5log_{10}(9) is log_{10}(12)

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simplify 2log_{10}(6)-0.5log_{10}(9)

simplify

2 lo g_{10} (6) - 0.5 lo g_{10} (9)

lo g_{10} (12)

Decimal Notation

1.07918 \dots

Solution steps

2 lo g_{10} (6) - 0.5 lo g_{10} (9)

0.5 lo g_{10} (9) = lo g_{10} (3)

= 2 lo g_{10} (6) - lo g_{10} (3)

Apply log rule:

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

2 lo g_{10} (6) = lo g_{10} (6^{2})

= lo g_{10} (6^{2}) - lo g_{10} (3)

Apply log rule:

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

lo g_{10} (6^{2}) - lo g_{10} (3) = lo g_{10} (\frac{6 ^{2}}{3})

= lo g_{10} (\frac{6 ^{2}}{3})

\frac{6 ^{2}}{3} = 12

= lo g_{10} (12)

lo g_{10} (60 e^{0.032 \cdot 5})

3 ln (x + 5) - ln (x + 2)

107.22 - 35 + 10 \cdot lo g_{10} (\frac{12}{32})

ln ((2 x e^{y})^{2}) + e^{(y + l n (3 x))}

2 ln (x + 1) - ln (x + 2)

What is 2log_{10}(6)-0.5log_{10}(9) ?
The solution to 2log_{10}(6)-0.5log_{10}(9) is log_{10}(12)