What is simplify-log_{10}(4*10^{-8})+log_{10}(1) ?

The solution to simplify-log_{10}(4*10^{-8})+log_{10}(1) is -(2log_{10}(2)-8)

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simplify-log_{10}(4*10^{-8})+log_{10}(1)

simplify

- lo g_{10} (4 \cdot 1 0^{- 8}) + lo g_{10} (1)

- (2 lo g_{10} (2) - 8)

Decimal Notation

7.39794 \dots

Solution steps

- lo g_{10} (4 \cdot 1 0^{- 8}) + lo g_{10} (1)

Apply log rule:

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

lo g_{10} (4 \cdot 1 0^{- 8}) = lo g_{10} (4) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (4) + lo g_{10} (1 0^{- 8})) + lo g_{10} (1)

Apply log rule:

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

lo g_{10} (1 0^{- 8}) = - 8 lo g_{10} (10)

= - (lo g_{10} (4) - 8 lo g_{10} (10)) + lo g_{10} (1)

- (lo g_{10} (4) - 8 lo g_{10} (10)) = - (2 lo g_{10} (2) - 8)

lo g_{10} (1) = 0

= - (2 lo g_{10} (2) - 8) + 0

- (2 lo g_{10} (2) - 8) + 0 = - (2 lo g_{10} (2) - 8)

= - (2 lo g_{10} (2) - 8)

2.338 - 1.5 - 0.287 ln (\frac{675}{45})

lo g_{3} (\frac{( x + 4 ) ^{2}}{y ^{3} z})

lo g_{6} (24) + lo g_{6} (4)

lo g_{3} (10 x)

lo g_{b} (y z^{8})

What is simplify-log_{10}(4*10^{-8})+log_{10}(1) ?
The solution to simplify-log_{10}(4*10^{-8})+log_{10}(1) is -(2log_{10}(2)-8)