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Popular >

simplify ln(1x(10^{-3}))

Solution

simplify

ln (1 x (1 0^{- 3}))

Solution

ln (x) - 3 ln (10)

Solution steps

ln (1 \cdot x (1 0^{- 3}))

Apply log rule:

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

ln (1 \cdot x (1 0^{- 3})) = ln (1) + ln (x) + ln (1 0^{- 3})

= ln (1) + ln (x) + ln (1 0^{- 3})

Apply log rule:

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

ln (1 0^{- 3}) = - 3 ln (10)

= ln (1) + ln (x) - 3 ln (10)

Apply log rule:

lo g_{a} (1) = 0

= 0 + ln (x) - 3 ln (10)

0 + ln (x) - 3 ln (10) = ln (x) - 3 ln (10)

= ln (x) - 3 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(1x(10^{-3})) ?
The solution to ln(1x(10^{-3})) is ln(x)-3ln(10)