What is ln((16.9*10^3)/(80)) ?

The solution to ln((16.9*10^3)/(80)) is ln(16.9)+3ln(10)-ln(80)

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simplify ln((16.9*10^3)/(80))

simplify

ln (\frac{16.9 \cdot 1 0 ^{3}}{80})

ln (16.9) + 3 ln (10) - ln (80)

Decimal Notation

5.35304 \dots

Solution steps

ln (\frac{16.9 \cdot 1 0 ^{3}}{80})

Apply log rule:

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

ln (\frac{16.9 \cdot 1 0 ^{3}}{80}) = ln (16.9 \cdot 1 0^{3}) - ln (80)

= ln (1 0^{3} \cdot 16.9) - ln (80)

Apply log rule:

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

ln (16.9 \cdot 1 0^{3}) = ln (16.9) + ln (1 0^{3})

= ln (16.9) + ln (1 0^{3}) - ln (80)

Apply log rule:

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

ln (1 0^{3}) = 3 ln (10)

= ln (16.9) + 3 ln (10) - ln (80)

lo g_{3} (sin (x) cos (x))

ln (1.2) - ln (0.6)

f (x) = ln^{2} (x) + 2 ln (x) + 1

- 3 ln ∣ x + 2 ∣ - 4 ln ∣ x + 3 ∣

20 lo g_{42} (2)

What is ln((16.9*10^3)/(80)) ?
The solution to ln((16.9*10^3)/(80)) is ln(16.9)+3ln(10)-ln(80)