What is ln((50*12)/(70.5*8.9)) ?

The solution to ln((50*12)/(70.5*8.9)) is ln(50)+ln(12)-ln(70.5)-ln(8.9)

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simplify ln((5012)/(70.58.9))

simplify

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9})

ln (50) + ln (12) - ln (70.5) - ln (8.9)

Decimal Notation

- 0.04473 \dots

Solution steps

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9})

Apply log rule:

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

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9}) = ln (50 \cdot 12) - ln (70.5 \cdot 8.9)

= ln (50 \cdot 12) - ln (8.9 \cdot 70.5)

Apply log rule:

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

ln (50 \cdot 12) = ln (50) + ln (12), ln (70.5 \cdot 8.9) = ln (70.5) + ln (8.9)

= ln (50) + ln (12) - (ln (8.9) + ln (70.5))

- (ln (70.5) + ln (8.9)) : - ln (70.5) - ln (8.9)

= ln (50) + ln (12) - ln (70.5) - ln (8.9)

ln (\frac{573.15 x}{293.15 x})

lo g_{10} (y^{9} x)

- \frac{1}{100} \cdot ln (\frac{0.01}{0.184})

ln (\frac{220}{450})

ln (t - 12) - ln (t - 11) + ln (2)

What is ln((50*12)/(70.5*8.9)) ?
The solution to ln((50*12)/(70.5*8.9)) is ln(50)+ln(12)-ln(70.5)-ln(8.9)