What is log_{1.21}(8/4)+1 ?

The solution to log_{1.21}(8/4)+1 is log_{1.21}(2)+1

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simplify log_{1.21}(8/4)+1

simplify

lo g_{1.21} (\frac{8}{4}) + 1

lo g_{1.21} (2) + 1

Solution steps

lo g_{1.21} (\frac{8}{4}) + 1

Apply log rule:

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

lo g_{1.21} (\frac{8}{4}) = lo g_{1.21} (8) - lo g_{1.21} (4)

= lo g_{1.21} (8) - lo g_{1.21} (4) + 1

lo g_{1.21} (8) = 3 lo g_{1.21} (2)

lo g_{1.21} (4) = 2 lo g_{1.21} (2)

= 3 lo g_{1.21} (2) - 2 lo g_{1.21} (2) + 1

Add similar elements:

3 lo g_{1.21} (2) - 2 lo g_{1.21} (2) = lo g_{1.21} (2)

= lo g_{1.21} (2) + 1

ln (6 x) - ln (- 3)

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

ln (6 x) - ln (- 2)

- lo g_{10} (1.5 \cdot 1 0^{- 10})

ln (\frac{2 10}{5})

What is log_{1.21}(8/4)+1 ?
The solution to log_{1.21}(8/4)+1 is log_{1.21}(2)+1