What is simplify-log_{10}(7.9*10^9) ?

The solution to simplify-log_{10}(7.9*10^9) is -log_{10}(7.9)-9

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simplify-log_{10}(7.9*10^9)

simplify

- lo g_{10} (7.9 \cdot 1 0^{9})

- lo g_{10} (7.9) - 9

Decimal Notation

- 9.89762 \dots

Solution steps

- lo g_{10} (7.9 \cdot 1 0^{9})

Apply log rule:

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

lo g_{10} (7.9 \cdot 1 0^{9}) = lo g_{10} (7.9) + lo g_{10} (1 0^{9})

= - (lo g_{10} (7.9) + lo g_{10} (1 0^{9}))

Apply log rule:

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

lo g_{10} (1 0^{9}) = 9 lo g_{10} (10)

= - (lo g_{10} (7.9) + 9 lo g_{10} (10))

9 lo g_{10} (10) = 9

= - (lo g_{10} (7.9) + 9)

Distribute parentheses

= - (lo g_{10} (7.9)) - (9)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (7.9) - 9

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

3 lo g_{2} (x) - 12 lo g_{2} (y)

lo g_{e} (\frac{575}{500})

ln (\frac{5}{35})

ln (\frac{5}{7} e^{7 t})

What is simplify-log_{10}(7.9*10^9) ?
The solution to simplify-log_{10}(7.9*10^9) is -log_{10}(7.9)-9