What is simplify-log_{10}(1.6673*10^{-5}) ?

The solution to simplify-log_{10}(1.6673*10^{-5}) is -log_{10}(1.6673)+5

Popular >

simplify-log_{10}(1.6673*10^{-5})

simplify

- lo g_{10} (1.6673 \cdot 1 0^{- 5})

- lo g_{10} (1.6673) + 5

Decimal Notation

4.77798 \dots

Solution steps

- lo g_{10} (1.6673 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (1.6673 \cdot 1 0^{- 5}) = lo g_{10} (1.6673) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (1.6673) + 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} (1.6673) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (1.6673) - 5)

Distribute parentheses

= - (lo g_{10} (1.6673)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (1.6673) + 5

lo g_{10} (3 x + 1) - lo g_{10} (3 x^{(2)} - 5 x - 2)

2 ln (x^{2} - 1) - ln (x^{4} - 1)

ln (a + b) + 5 ln (a - b) - 4 ln (c)

lo g_{9} (v) + 6 lo g_{9} (w) + \frac{1}{2} lo g_{9} (u)

lo g_{2} (5 n)

What is simplify-log_{10}(1.6673*10^{-5}) ?
The solution to simplify-log_{10}(1.6673*10^{-5}) is -log_{10}(1.6673)+5