What is ln((33.6*10^6)/(21660)) ?

The solution to ln((33.6*10^6)/(21660)) is ln(33.6)+6ln(10)-ln(21660)

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simplify ln((33.6*10^6)/(21660))

simplify

ln (\frac{33.6 \cdot 1 0 ^{6}}{21660})

ln (33.6) + 6 ln (10) - ln (21660)

Decimal Notation

7.34681 \dots

Solution steps

ln (\frac{33.6 \cdot 1 0 ^{6}}{21660})

Apply log rule:

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

ln (\frac{33.6 \cdot 1 0 ^{6}}{21660}) = ln (33.6 \cdot 1 0^{6}) - ln (21660)

= ln (1 0^{6} \cdot 33.6) - ln (21660)

Apply log rule:

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

ln (33.6 \cdot 1 0^{6}) = ln (33.6) + ln (1 0^{6})

= ln (33.6) + ln (1 0^{6}) - ln (21660)

Apply log rule:

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

ln (1 0^{6}) = 6 ln (10)

= ln (33.6) + 6 ln (10) - ln (21660)

ln (y + 4 x) - 6 ln (y - x)

- 8.314 \cdot ln (\frac{0.5}{1})

lo g_{3} (\frac{27}{x + 3})

9 ln (x + 4) - 3 ln (x)

ln (\frac{x + 5}{x + 3})

What is ln((33.6*10^6)/(21660)) ?
The solution to ln((33.6*10^6)/(21660)) is ln(33.6)+6ln(10)-ln(21660)