What is ln(142)-0.515*ln(100) ?

The solution to ln(142)-0.515*ln(100) is ln(13.25221…)

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simplify ln(142)-0.515*ln(100)

simplify

ln (142) - 0.515 \cdot ln (100)

ln (13.25221 \dots)

Decimal Notation

2.58416 \dots

Solution steps

ln (142) - 0.515 ln (100)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.515 ln (100) = ln (10 0^{0.515})

= ln (142) - ln (10 0^{0.515})

Apply log rule:

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

ln (142) - ln (10 0^{0.515}) = ln (\frac{142}{10 0 ^{0.515}})

= ln (\frac{142}{10 0 ^{0.515}})

\frac{142}{10 0 ^{0.515}} = 13.25221 \dots

= ln (13.25221 \dots)

ln (\frac{68}{80})

ln (8.513 \cdot 1 0^{- 4})

ln (4 e^{6 - t})

e^{x} + lo g_{10} (2 x^{2})

4.76 + lo g_{10} (\frac{0.8}{3})

What is ln(142)-0.515*ln(100) ?
The solution to ln(142)-0.515*ln(100) is ln(13.25221…)