What is simplify-log_{10}(3*10^{-10}) ?

The solution to simplify-log_{10}(3*10^{-10}) is -log_{10}(3)+10

Popular >

simplify-log_{10}(3*10^{-10})

simplify

- lo g_{10} (3 \cdot 1 0^{- 10})

- lo g_{10} (3) + 10

Decimal Notation

9.52287 \dots

Solution steps

- lo g_{10} (3 \cdot 1 0^{- 10})

Apply log rule:

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

lo g_{10} (3 \cdot 1 0^{- 10}) = lo g_{10} (3) + lo g_{10} (1 0^{- 10})

= - (lo g_{10} (3) + lo g_{10} (1 0^{- 10}))

Apply log rule:

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

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

= - (lo g_{10} (3) - 10 lo g_{10} (10))

10 lo g_{10} (10) = 10

= - (lo g_{10} (3) - 10)

Distribute parentheses

= - (lo g_{10} (3)) - (- 10)

Apply minus-plus rules

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

= - lo g_{10} (3) + 10

lo g_{w} (\frac{13 x}{5})

2 ln (4) + ln (x + 1) - 3 ln (y)

- lo g_{10} (1 \times 1 0^{- 9})

lo g_{b} (\frac{p ^{3} q ^{6}}{m ^{3} b ^{9}})

lo g_{8} (\frac{5}{x})

What is simplify-log_{10}(3*10^{-10}) ?
The solution to simplify-log_{10}(3*10^{-10}) is -log_{10}(3)+10