What is 3.3(log_{10}(18000)-log_{10}(150)) ?

The solution to 3.3(log_{10}(18000)-log_{10}(150)) is 3.3log_{10}(120)

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simplify 3.3(log_{10}(18000)-log_{10}(150))

simplify

3.3 (lo g_{10} (18000) - lo g_{10} (150))

3.3 lo g_{10} (120)

Decimal Notation

6.86129 \dots

Solution steps

3.3 (lo g_{10} (18000) - lo g_{10} (150))

Apply log rule:

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

lo g_{10} (18000) - lo g_{10} (150) = lo g_{10} (\frac{18000}{150})

= 3.3 lo g_{10} (\frac{18000}{150})

Divide the numbers:

\frac{18000}{150} = 120

= 3.3 lo g_{10} (120)

2 ln (x + 3) + ln (x - 3) - ln (x^{2} - 9)

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5 lo g_{10} (x^{3}) - 2 lo g_{10} (x^{4})

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What is 3.3(log_{10}(18000)-log_{10}(150)) ?
The solution to 3.3(log_{10}(18000)-log_{10}(150)) is 3.3log_{10}(120)