What is simplify-1/(0.024)ln((6-1)/(4.2)) ?

The solution to simplify-1/(0.024)ln((6-1)/(4.2)) is -(ln(5)-ln(4.2))/(0.024)

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simplify-1/(0.024)ln((6-1)/(4.2))

simplify

- \frac{1}{0.024} ln (\frac{6 - 1}{4.2})

- \frac{ln ( 5 ) - ln ( 4.2 )}{0.024}

Decimal Notation

- 7.26472 \dots

Solution steps

- \frac{1}{0.024} ln (\frac{6 - 1}{4.2})

Apply log rule:

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

ln (\frac{6 - 1}{4.2}) = ln (6 - 1) - ln (4.2)

= - \frac{1}{0.024} (ln (6 - 1) - ln (4.2))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot ( ln ( 6 - 1 ) - ln ( 4.2 ) )}{0.024}

1 \cdot (ln (6 - 1) - ln (4.2)) = ln (5) - ln (4.2)

= - \frac{ln ( 5 ) - ln ( 4.2 )}{0.024}

(1 - x) (\frac{1}{1 - x ^{2}}) - \frac{1}{2} ln (\frac{1 + x}{1 - x})

- lo g_{10} (4.88 \cdot 1 0^{- 6})

- ln (\frac{1 - x}{x + 1})

2000 ln (\frac{14000}{14000 - 2100 ( 8 )}) - 9.8 (8)

- lo g_{10} (4.6 \cdot 1 0^{- 8})

What is simplify-1/(0.024)ln((6-1)/(4.2)) ?
The solution to simplify-1/(0.024)ln((6-1)/(4.2)) is -(ln(5)-ln(4.2))/(0.024)