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Popular >

simplify ln(3x)-x(1/x)

Solution

simplify

ln (3 x) - x (\frac{1}{x})

Solution

ln (3) + ln (x) - 1

Solution steps

ln (3 x) - x (\frac{1}{x})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (3 x) = ln (3) + ln (x)

= ln (3) + ln (x) - (\frac{1}{x}) x

Remove parentheses:

(a) = a

= ln (3) + ln (x) - x \frac{1}{x}

x \frac{1}{x} = 1

= ln (3) + ln (x) - 1

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- lo g_{10} (2.85 \cdot 1 0^{- 2})

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Frequently Asked Questions (FAQ)

What is ln(3x)-x(1/x) ?
The solution to ln(3x)-x(1/x) is ln(3)+ln(x)-1