What is simplify-log_{10}(6.652*10^{-5}) ?

The solution to simplify-log_{10}(6.652*10^{-5}) is -log_{10}(6.652)+5

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simplify-log_{10}(6.652*10^{-5})

simplify

- lo g_{10} (6.652 \cdot 1 0^{- 5})

- lo g_{10} (6.652) + 5

Decimal Notation

4.17704 \dots

Solution steps

- lo g_{10} (6.652 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (6.652 \cdot 1 0^{- 5}) = lo g_{10} (6.652) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (6.652) + lo g_{10} (1 0^{- 5}))

Apply log rule:

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

lo g_{10} (1 0^{- 5}) = - 5 lo g_{10} (10)

= - (lo g_{10} (6.652) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (6.652) - 5)

Distribute parentheses

= - (lo g_{10} (6.652)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (6.652) + 5

lo g_{x} ((3 p^{2} m)^{2}) - lo g_{x} (y^{2})

x - ln (x + 1) + ln (y - 1)

- \frac{ln ( \frac{2}{5} )}{5 ln ( 10 )}

- ln (k (t^{2} + h^{2}))

2 \cdot (ln (0.662) - ln (0.583))

What is simplify-log_{10}(6.652*10^{-5}) ?
The solution to simplify-log_{10}(6.652*10^{-5}) is -log_{10}(6.652)+5