What is log_{1.8}((8.13)/(3.12))+52.11-54.01 ?

The solution to log_{1.8}((8.13)/(3.12))+52.11-54.01 is log_{1.8}(8.13)-1.9-log_{1.8}(3.12)

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simplify log_{1.8}((8.13)/(3.12))+52.11-54.01

simplify

lo g_{1.8} (\frac{8.13}{3.12}) + 52.11 - 54.01

lo g_{1.8} (8.13) - 1.9 - lo g_{1.8} (3.12)

Decimal Notation

- 0.27061 \dots

Solution steps

lo g_{1.8} (\frac{8.13}{3.12}) + 52.11 - 54.01

Apply log rule:

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

lo g_{1.8} (\frac{8.13}{3.12}) = lo g_{1.8} (8.13) - lo g_{1.8} (3.12)

= lo g_{1.8} (8.13) - lo g_{1.8} (3.12) + 52.11 - 54.01

Add/Subtract the numbers:

52.11 - 54.01 = - 1.9

= lo g_{1.8} (8.13) - 1.9 - lo g_{1.8} (3.12)

lo g_{10} (4 p^{3})

- lo g_{10} (5.34 \cdot 1 0^{- 3})

6 [ln (x) - ln (x + 5) - ln (\cdot (- 5))]

- lo g_{10} (7.9 \cdot 1 0^{- 7})

4.2 - 5 lo g_{10} (\frac{38}{10})

What is log_{1.8}((8.13)/(3.12))+52.11-54.01 ?
The solution to log_{1.8}((8.13)/(3.12))+52.11-54.01 is log_{1.8}(8.13)-1.9-log_{1.8}(3.12)