What is simplify-log_{10}(3.81*10^{-8}) ?

The solution to simplify-log_{10}(3.81*10^{-8}) is -log_{10}(3.81)+8

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simplify-log_{10}(3.81*10^{-8})

simplify

- lo g_{10} (3.81 \cdot 1 0^{- 8})

- lo g_{10} (3.81) + 8

Decimal Notation

7.41907 \dots

Solution steps

- lo g_{10} (3.81 \cdot 1 0^{- 8})

Apply log rule:

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

lo g_{10} (3.81 \cdot 1 0^{- 8}) = lo g_{10} (3.81) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (3.81) + lo g_{10} (1 0^{- 8}))

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} (3.81) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (3.81) - 8)

Distribute parentheses

= - (lo g_{10} (3.81)) - (- 8)

Apply minus-plus rules

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

= - lo g_{10} (3.81) + 8

lo g_{e} (\frac{( 1 - sin ( y ) )}{cos ( 2 y )})

\frac{1}{3} (ln (4) - ln (3))

lo g_{10} (2 \cdot s (1 - y) [y (2 - y)]^{(s - 1)})

- lo g_{10} (8.15 \cdot 1 0^{- 4})

\frac{ln ( 5.435 ) + ln ( 5.429 )}{2}

What is simplify-log_{10}(3.81*10^{-8}) ?
The solution to simplify-log_{10}(3.81*10^{-8}) is -log_{10}(3.81)+8