What is ln(5.1*10^{-4})+0.94 ?

The solution to ln(5.1*10^{-4})+0.94 is ln(5.1)-4ln(10)+0.94

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simplify ln(5.1*10^{-4})+0.94

simplify

ln (5.1 \cdot 1 0^{- 4}) + 0.94

ln (5.1) - 4 ln (10) + 0.94

Decimal Notation

- 6.64109 \dots

Solution steps

ln (5.1 \cdot 1 0^{- 4}) + 0.94

Apply log rule:

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

ln (5.1 \cdot 1 0^{- 4}) = ln (5.1) + ln (1 0^{- 4})

= ln (5.1) + ln (1 0^{- 4}) + 0.94

Apply log rule:

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

ln (1 0^{- 4}) = - 4 ln (10)

= ln (5.1) - 4 ln (10) + 0.94

3.74 + lo g_{10} (\frac{2.475}{0.025})

ln (2 x^{2} + x^{2}) - ln (x)

- 0.64 lo g_{2} (0.64) - 0.36 lo g_{2} (0.36)

ln (\frac{e ^{- 10 θ} θ ^{20}}{207360})

lo g_{10} (y \cdot z)

What is ln(5.1*10^{-4})+0.94 ?
The solution to ln(5.1*10^{-4})+0.94 is ln(5.1)-4ln(10)+0.94