What is 192ln(192/762)-192+763 ?

The solution to 192ln(192/762)-192+763 is 192ln(192)+571-192ln(762)

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simplify 192ln(192/762)-192+763

simplify

192 ln (\frac{192}{762}) - 192 + 763

192 ln (192) + 571 - 192 ln (762)

Decimal Notation

306.33737 \dots

Solution steps

192 ln (\frac{192}{762}) - 192 + 763

Apply log rule:

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

ln (\frac{192}{762}) = ln (192) - ln (762)

= 192 (ln (192) - ln (762)) - 192 + 763

Expand

192 (ln (192) - ln (762)) : 192 ln (192) - 192 ln (762)

= 192 ln (192) - 192 ln (762) - 192 + 763

Add/Subtract the numbers:

- 192 + 763 = 571

= 192 ln (192) + 571 - 192 ln (762)

lo g_{10} (\frac{y ^{8}}{z})

lo g_{13} (\frac{13}{y})

lo g_{4} (21) - lo g_{4} (3)

lo g_{8} (a^{6} b^{5})

lo g_{10} (15) - 2 lo g_{10} (10) + lo g_{10} (60)

What is 192ln(192/762)-192+763 ?
The solution to 192ln(192/762)-192+763 is 192ln(192)+571-192ln(762)