What is simplify-log_{10}(5/100) ?

The solution to simplify-log_{10}(5/100) is -log_{10}(5)+2

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simplify-log_{10}(5/100)

simplify

- lo g_{10} (\frac{5}{100})

- lo g_{10} (5) + 2

Decimal Notation

1.30102 \dots

Solution steps

- lo g_{10} (\frac{5}{100})

Apply log rule:

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

lo g_{10} (\frac{5}{100}) = lo g_{10} (5) - lo g_{10} (100)

= - (lo g_{10} (5) - lo g_{10} (100))

lo g_{10} (100) = 2

= - (lo g_{10} (5) - 2)

Distribute parentheses

= - (lo g_{10} (5)) - (- 2)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - lo g_{10} (5) + 2

lo g_{a} (3.15) + lo g_{a} (2.45)

\frac{1}{2} ln (1 + \frac{2 y}{x})

ln (\frac{- 130.42}{- 0.00222877})

ln (x (60 - y))

What is simplify-log_{10}(5/100) ?
The solution to simplify-log_{10}(5/100) is -log_{10}(5)+2