What is 1/(0.1^2)ln(1/(0.1)) ?

The solution to 1/(0.1^2)ln(1/(0.1)) is -1/(0.01)ln(0.1)

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simplify 1/(0.1^2)ln(1/(0.1))

simplify

\frac{1}{0. 1 ^{2}} ln (\frac{1}{0.1})

- \frac{1}{0.01} ln (0.1)

Decimal Notation

230.25850 \dots

Solution steps

\frac{1}{0. 1 ^{2}} ln (\frac{1}{0.1})

Apply log rule:

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

ln (\frac{1}{0.1}) = ln (1) - ln (0.1)

= \frac{1}{0. 1 ^{2}} (ln (1) - ln (0.1))

Apply log rule:

lo g_{a} (1) = 0

= \frac{1}{0. 1 ^{2}} (- ln (0.1) + 0)

0 - ln (0.1) = - ln (0.1)

= \frac{1}{0. 1 ^{2}} (- ln (0.1))

Remove parentheses:

(- a) = - a

= - \frac{1}{0. 1 ^{2}} ln (0.1)

0. 1^{2} = 0.01

= - \frac{1}{0.01} ln (0.1)

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

lo g_{4} (\frac{( a ^{2} \cdot b ^{3} )}{c \cdot d})

lo g_{10} (2) - lo g_{10} (3 i)

- 0.6 \cdot lo g_{2} (0.6) - 0.3 \cdot lo g_{2} (0.3)

- 4 \cdot ln (\frac{25}{13}) - 5 \cdot ln (\frac{25}{13})

What is 1/(0.1^2)ln(1/(0.1)) ?
The solution to 1/(0.1^2)ln(1/(0.1)) is -1/(0.01)ln(0.1)