What is log_{35/18}(200)-log_{35/18}(4.1) ?

The solution to log_{35/18}(200)-log_{35/18}(4.1) is log_{35/18}(48.78048…)

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simplify log_{35/18}(200)-log_{35/18}(4.1)

simplify

lo g_{\frac{35}{18}} (200) - lo g_{\frac{35}{18}} (4.1)

lo g_{\frac{35}{18}} (48.78048 \dots)

Decimal

5.84581 \dots

Solution steps

lo g_{\frac{35}{18}} (200) - lo g_{\frac{35}{18}} (4.1)

Apply log rule:

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

lo g_{\frac{35}{18}} (200) - lo g_{\frac{35}{18}} (4.1) = lo g_{\frac{35}{18}} (\frac{200}{4.1})

= lo g_{\frac{35}{18}} (\frac{200}{4.1})

Divide the numbers:

\frac{200}{4.1} = 48.78048 \dots

= lo g_{\frac{35}{18}} (48.78048 \dots)

lo g_{10} (\frac{z}{y ^{7}})

25 ln (\frac{20}{600})

- ln (x - 1) - ln (x + 1)

- ln (\frac{3}{11})

- lo g_{10} (4.83 x 1 0^{- 5})

What is log_{35/18}(200)-log_{35/18}(4.1) ?
The solution to log_{35/18}(200)-log_{35/18}(4.1) is log_{35/18}(48.78048…)