What is log_{4^{-0.06}}(5/70) ?

The solution to log_{4^{-0.06}}(5/70) is -1/(0.06)log_{4}(5)+1/(0.06)log_{4}(70)

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simplify log_{4^{-0.06}}(5/70)

simplify

lo g_{4^{- 0.06}} (\frac{5}{70})

- \frac{1}{0.06} lo g_{4} (5) + \frac{1}{0.06} lo g_{4} (70)

Decimal Notation

31.72795 \dots

Solution steps

lo g_{4^{- 0.06}} (\frac{5}{70})

Apply log rule:

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

lo g_{4^{- 0.06}} (\frac{5}{70}) = lo g_{4^{- 0.06}} (5) - lo g_{4^{- 0.06}} (70)

= lo g_{4^{- 0.06}} (5) - lo g_{4^{- 0.06}} (70)

lo g_{4^{- 0.06}} (5) = - \frac{1}{0.06} lo g_{4} (5)

= - \frac{1}{0.06} lo g_{4} (5) - lo g_{4^{- 0.06}} (70)

lo g_{4^{- 0.06}} (70) = - \frac{1}{0.06} lo g_{4} (70)

= - \frac{1}{0.06} lo g_{4} (5) - (- \frac{1}{0.06} lo g_{4} (70))

Apply rule

- (- a) = a

= - \frac{1}{0.06} lo g_{4} (5) + \frac{1}{0.06} lo g_{4} (70)

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

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

2 ln (x - 1) - ln (x + 2)

ln (\frac{3 y ^{2}}{y + 1})

ln (\frac{3 - x}{3 + x})

What is log_{4^{-0.06}}(5/70) ?
The solution to log_{4^{-0.06}}(5/70) is -1/(0.06)log_{4}(5)+1/(0.06)log_{4}(70)