What is ln(2.8246x10^{-10}) ?

The solution to ln(2.8246x10^{-10}) is ln(2.8246)+ln(x)-10ln(10)

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simplify ln(2.8246x10^{-10})

simplify

ln (2.8246 x 1 0^{- 10})

ln (2.8246) + ln (x) - 10 ln (10)

Solution steps

ln (2.8246 x \cdot 1 0^{- 10})

Apply log rule:

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

ln (2.8246 x \cdot 1 0^{- 10}) = ln (2.8246) + ln (x) + ln (1 0^{- 10})

= ln (2.8246) + ln (x) + ln (1 0^{- 10})

Apply log rule:

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

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

= ln (2.8246) + ln (x) - 10 ln (10)

ln (- iπ)

lo g_{3} (w \cdot u^{6} \cdot v)

ln (12) + ln (2)

256 (ln (45 + 3) - ln (45 + 4))

- ln (6.3 e) - 5

What is ln(2.8246x10^{-10}) ?
The solution to ln(2.8246x10^{-10}) is ln(2.8246)+ln(x)-10ln(10)