What is 100*ln(209)-ln(193) ?

The solution to 100*ln(209)-ln(193) is ln((209^{100})/(193))

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simplify 100*ln(209)-ln(193)

simplify

100 \cdot ln (209) - ln (193)

ln (\frac{20 9 ^{100}}{193})

Decimal Notation

528.97073 \dots

Solution steps

100 ln (209) - ln (193)

Apply log rule:

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

100 ln (209) = ln (20 9^{100})

= ln (20 9^{100}) - ln (193)

Apply log rule:

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

ln (20 9^{100}) - ln (193) = ln (\frac{20 9 ^{100}}{193})

= ln (\frac{20 9 ^{100}}{193})

lo g_{10} (9 x)

- 2 ln (\frac{3}{2})

ln (\frac{( 40 - 50 )}{( 40 - 83.3 )})

ln (23 x)

ln (3) + ln (x + 2)

What is 100*ln(209)-ln(193) ?
The solution to 100*ln(209)-ln(193) is ln((209^{100})/(193))