What is simplify-log_{10}(5.7(10^{-8})) ?

The solution to simplify-log_{10}(5.7(10^{-8})) is -log_{10}(5.7)+8

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simplify-log_{10}(5.7(10^{-8}))

simplify

- lo g_{10} (5.7 (1 0^{- 8}))

- lo g_{10} (5.7) + 8

Decimal Notation

7.24412 \dots

Solution steps

- lo g_{10} (5.7 (1 0^{- 8}))

Apply log rule:

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

lo g_{10} (5.7 (1 0^{- 8})) = lo g_{10} (5.7) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (5.7) + 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} (5.7) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (5.7) - 8)

Distribute parentheses

= - (lo g_{10} (5.7)) - (- 8)

Apply minus-plus rules

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

= - lo g_{10} (5.7) + 8

- lo g_{10} (9.49 \cdot 1 0^{- 1})

lo g_{10} (\frac{2 x ^{5}}{( 7 + x ) ^{4}})

lo g_{3} (x \cdot sin (x))

ln (4 t)

- 20 lo g_{10} (\frac{2}{5}) + 1.76 + 8 \cdot 6.02

What is simplify-log_{10}(5.7(10^{-8})) ?
The solution to simplify-log_{10}(5.7(10^{-8})) is -log_{10}(5.7)+8