What is ln(-0.21+6)-ln(2(-0.21)-1) ?

The solution to ln(-0.21+6)-ln(2(-0.21)-1) is ln(-4.07746…)

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simplify ln(-0.21+6)-ln(2(-0.21)-1)

simplify

ln (- 0.21 + 6) - ln (2 (- 0.21) - 1)

ln (- 4.07746 \dots)

Solution steps

ln (- 0.21 + 6) - ln (2 (- 0.21) - 1)

Apply log rule:

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

ln (- 0.21 + 6) - ln (2 (- 0.21) - 1) = ln (\frac{6 - 0.21}{2 ( - 0.21 ) - 1})

= ln (\frac{- 0.21 + 6}{2 ( - 0.21 ) - 1})

\frac{- 0.21 + 6}{2 ( - 0.21 ) - 1} = - 4.07746 \dots

= ln (- 4.07746 \dots)

ln (\frac{8.5}{5.1})

ln ((x - a)^{2} + a^{2}) - ln ((y - a)^{2} + a^{2})

\frac{1}{2} lo g_{5} (2)

ln (\frac{x}{400})

ln (y^{4}) - ln (y^{2})

What is ln(-0.21+6)-ln(2(-0.21)-1) ?
The solution to ln(-0.21+6)-ln(2(-0.21)-1) is ln(-4.07746…)