What is simplify-log_{10}(7.2*10^{-5}) ?

The solution to simplify-log_{10}(7.2*10^{-5}) is -log_{10}(7.2)+5

Popular >

simplify-log_{10}(7.2*10^{-5})

simplify

- lo g_{10} (7.2 \cdot 1 0^{- 5})

- lo g_{10} (7.2) + 5

Decimal Notation

4.14266 \dots

Solution steps

- lo g_{10} (7.2 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (7.2 \cdot 1 0^{- 5}) = lo g_{10} (7.2) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (7.2) + 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} (7.2) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (7.2) - 5)

Distribute parentheses

= - (lo g_{10} (7.2)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (7.2) + 5

2 ln (- 1) - 2 ln (- 2)

ln \frac{( \frac{( - \frac{4}{3} )}{( - \frac{7}{6} )} )}{2}

2 ln (2) + 3 ln (3)

ln (\frac{0.063}{0.0295})

lo g_{8} (2 - x) + lo g_{8} (4 - x)

What is simplify-log_{10}(7.2*10^{-5}) ?
The solution to simplify-log_{10}(7.2*10^{-5}) is -log_{10}(7.2)+5