What is simplify-log_{10}(2.85*10^{12}) ?

The solution to simplify-log_{10}(2.85*10^{12}) is -log_{10}(2.85)-12

Popular >

simplify-log_{10}(2.85*10^{12})

simplify

- lo g_{10} (2.85 \cdot 1 0^{12})

- lo g_{10} (2.85) - 12

Decimal

- 12.45484 \dots

Solution steps

- lo g_{10} (2.85 \cdot 1 0^{12})

Apply log rule:

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

lo g_{10} (2.85 \cdot 1 0^{12}) = lo g_{10} (2.85) + lo g_{10} (1 0^{12})

= - (lo g_{10} (2.85) + lo g_{10} (1 0^{12}))

Apply log rule:

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

lo g_{10} (1 0^{12}) = 12 lo g_{10} (10)

= - (lo g_{10} (2.85) + 12 lo g_{10} (10))

12 lo g_{10} (10) = 12

= - (lo g_{10} (2.85) + 12)

Distribute parentheses

= - (lo g_{10} (2.85)) - (12)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (2.85) - 12

ln (\frac{215}{2})

2 lo g_{a} (t - lo g_{a} (s) + 4 lo g_{a} (u))

ln (1 0^{- 4}) - 3.82 ln (15)

\frac{1}{0.013} ln (\frac{42}{34})

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

What is simplify-log_{10}(2.85*10^{12}) ?
The solution to simplify-log_{10}(2.85*10^{12}) is -log_{10}(2.85)-12