What is ln(6.59x10^{-3}) ?

The solution to ln(6.59x10^{-3}) is ln(6.59)+ln(x)-3ln(10)

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simplify ln(6.59x10^{-3})

simplify

ln (6.59 x 1 0^{- 3})

ln (6.59) + ln (x) - 3 ln (10)

Solution steps

ln (6.59 x \cdot 1 0^{- 3})

Apply log rule:

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

ln (6.59 x \cdot 1 0^{- 3}) = ln (6.59) + ln (x) + ln (1 0^{- 3})

= ln (6.59) + 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 (6.59) + ln (x) - 3 ln (10)

4 ln (4) - 4 ln (\frac{1}{2})

ln (x) - ln (x - 1 0^{6})

e^{19} - ln (9 x)

ln (i z)

3 lo g_{6} (u) + 12 lo g_{6} (v)

What is ln(6.59x10^{-3}) ?
The solution to ln(6.59x10^{-3}) is ln(6.59)+ln(x)-3ln(10)