What is simplify-log_{10}(5.159*10^{13}) ?

The solution to simplify-log_{10}(5.159*10^{13}) is -log_{10}(5.159)-13

Popular >

simplify-log_{10}(5.159*10^{13})

simplify

- lo g_{10} (5.159 \cdot 1 0^{13})

- lo g_{10} (5.159) - 13

Decimal Notation

- 13.71256 \dots

Solution steps

- lo g_{10} (5.159 \cdot 1 0^{13})

Apply log rule:

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

lo g_{10} (5.159 \cdot 1 0^{13}) = lo g_{10} (5.159) + lo g_{10} (1 0^{13})

= - (lo g_{10} (5.159) + lo g_{10} (1 0^{13}))

Apply log rule:

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

lo g_{10} (1 0^{13}) = 13 lo g_{10} (10)

= - (lo g_{10} (5.159) + 13 lo g_{10} (10))

13 lo g_{10} (10) = 13

= - (lo g_{10} (5.159) + 13)

Distribute parentheses

= - (lo g_{10} (5.159)) - (13)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (5.159) - 13

ln (\frac{1}{b ^{2 n}} \cdot e^{- \frac{x}{nb}} \cdot x)

- \frac{1}{2} ln (\frac{0.0009}{2})

ln (1 + \frac{1}{x}) - ln (1 + \frac{1}{x - 1})

- \frac{24 ln ( 2 ) - 3 ln ( 15 )}{2 ( ln ( 15 ) - 9 ln ( 2 ) )}

lo g_{e} (\frac{100000}{1200})

What is simplify-log_{10}(5.159*10^{13}) ?
The solution to simplify-log_{10}(5.159*10^{13}) is -log_{10}(5.159)-13