What is log_{1.8}((3.57)/(3.92))+50.65-51.6 ?

The solution to log_{1.8}((3.57)/(3.92))+50.65-51.6 is log_{1.8}(3.57)-0.95-log_{1.8}(3.92)

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simplify log_{1.8}((3.57)/(3.92))+50.65-51.6

simplify

lo g_{1.8} (\frac{3.57}{3.92}) + 50.65 - 51.6

lo g_{1.8} (3.57) - 0.95 - lo g_{1.8} (3.92)

Decimal Notation

- 1.10911 \dots

Solution steps

lo g_{1.8} (\frac{3.57}{3.92}) + 50.65 - 51.6

Apply log rule:

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

lo g_{1.8} (\frac{3.57}{3.92}) = lo g_{1.8} (3.57) - lo g_{1.8} (3.92)

= lo g_{1.8} (3.57) - lo g_{1.8} (3.92) + 50.65 - 51.6

Add/Subtract the numbers:

50.65 - 51.6 = - 0.95

= lo g_{1.8} (3.57) - 0.95 - lo g_{1.8} (3.92)

ln (\frac{1}{2}) - 2 + 3 ln (2)

ln (9) + ln (2)

2 [(ln (x + 3) + ln (x) - ln (x^{2} - 1))]

ln (\frac{x ^{2}}{y ^{3} z ^{4}})

ln \frac{3}{2} - ln \frac{1}{2}

What is log_{1.8}((3.57)/(3.92))+50.65-51.6 ?
The solution to log_{1.8}((3.57)/(3.92))+50.65-51.6 is log_{1.8}(3.57)-0.95-log_{1.8}(3.92)