What is simplify-log_{10}(6.68*10^{-2}) ?

The solution to simplify-log_{10}(6.68*10^{-2}) is -log_{10}(6.68)+2

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simplify-log_{10}(6.68*10^{-2})

simplify

- lo g_{10} (6.68 \cdot 1 0^{- 2})

- lo g_{10} (6.68) + 2

Decimal Notation

1.17522 \dots

Solution steps

- lo g_{10} (6.68 \cdot 1 0^{- 2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (6.68 \cdot 1 0^{- 2}) = lo g_{10} (6.68) + lo g_{10} (1 0^{- 2})

= - (lo g_{10} (6.68) + lo g_{10} (1 0^{- 2}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{- 2}) = - 2 lo g_{10} (10)

= - (lo g_{10} (6.68) - 2 lo g_{10} (10))

2 lo g_{10} (10) = 2

= - (lo g_{10} (6.68) - 2)

Distribute parentheses

= - (lo g_{10} (6.68)) - (- 2)

Apply minus-plus rules

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

= - lo g_{10} (6.68) + 2

lo g_{9} (\frac{w ^{4}}{v})

ln (3^{b} a^{b})

2 lo g_{4} (y - 1) - lo g_{4} (y + 3) - 1

lo g_{10} (a^{6} b^{4})

3 ln (2) + 2 ln (x) - 12 ln (x + 4)

What is simplify-log_{10}(6.68*10^{-2}) ?
The solution to simplify-log_{10}(6.68*10^{-2}) is -log_{10}(6.68)+2