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Popular >

simplify ln(x/(1e^6))

Solution

simplify

ln (\frac{x}{1 e ^{6}})

Solution

ln (x) - 6

Solution steps

ln (\frac{x}{1 \cdot e ^{6}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x}{1 \cdot e ^{6}}) = ln (x) - ln (1 \cdot e^{6})

= ln (x) - ln (1 \cdot e^{6})

Apply log rule:

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

ln (1 \cdot e^{6}) = ln (1) + ln (e^{6})

= ln (x) - (ln (1) + ln (e^{6}))

Apply log rule:

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

ln (e^{6}) = 6 ln (e)

= ln (x) - (ln (1) + 6 ln (e))

- (ln (1) + 6 ln (e)) = - 6

= ln (x) - 6

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Frequently Asked Questions (FAQ)

What is ln(x/(1e^6)) ?
The solution to ln(x/(1e^6)) is ln(x)-6