What is ln((1/(0.10225))/(35)) ?

The solution to ln((1/(0.10225))/(35)) is -ln(35)-ln(0.10225)

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simplify ln((1/(0.10225))/(35))

simplify

ln (\frac{\frac{1}{0.10225}}{35})

- ln (35) - ln (0.10225)

Decimal Notation

- 1.27501 \dots

Solution steps

ln (\frac{\frac{1}{0.10225}}{35})

Apply log rule:

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

ln (\frac{\frac{1}{0.10225}}{35}) = ln (\frac{1}{0.10225}) - ln (35)

= ln (\frac{1}{0.10225}) - ln (35)

Apply log rule:

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

ln (\frac{1}{0.10225}) = ln (1) - ln (0.10225)

= ln (1) - ln (0.10225) - ln (35)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (0.10225) - ln (35)

0 - ln (0.10225) - ln (35) = - ln (0.10225) - ln (35)

= - ln (35) - ln (0.10225)

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What is ln((1/(0.10225))/(35)) ?
The solution to ln((1/(0.10225))/(35)) is -ln(35)-ln(0.10225)