What is simplify-log_{10}(4.7*10^{-6}) ?

The solution to simplify-log_{10}(4.7*10^{-6}) is -log_{10}(4.7)+6

Popular >

simplify-log_{10}(4.7*10^{-6})

simplify

- lo g_{10} (4.7 \cdot 1 0^{- 6})

- lo g_{10} (4.7) + 6

Decimal Notation

5.32790 \dots

Solution steps

- lo g_{10} (4.7 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (4.7 \cdot 1 0^{- 6}) = lo g_{10} (4.7) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (4.7) + lo g_{10} (1 0^{- 6}))

Apply log rule:

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

lo g_{10} (1 0^{- 6}) = - 6 lo g_{10} (10)

= - (lo g_{10} (4.7) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (4.7) - 6)

Distribute parentheses

= - (lo g_{10} (4.7)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (4.7) + 6

- lo g_{10} (7.45 \cdot 1 0^{- 6})

ln (- 1 - i) - ln (i)

\frac{ln ( 11000 ) - ln ( 7000 )}{3}

ln (\frac{58387}{88}) \cdot (- \frac{80}{3})

ln (x) + \frac{1}{2} ln (\frac{x ^{2} + y ^{2}}{x ^{2}})

What is simplify-log_{10}(4.7*10^{-6}) ?
The solution to simplify-log_{10}(4.7*10^{-6}) is -log_{10}(4.7)+6