What is simplify-log_{10}(7.56*10^6) ?

The solution to simplify-log_{10}(7.56*10^6) is -log_{10}(7.56)-6

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simplify-log_{10}(7.56*10^6)

simplify

- lo g_{10} (7.56 \cdot 1 0^{6})

- lo g_{10} (7.56) - 6

Decimal Notation

- 6.87852 \dots

Solution steps

- lo g_{10} (7.56 \cdot 1 0^{6})

Apply log rule:

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

lo g_{10} (7.56 \cdot 1 0^{6}) = lo g_{10} (7.56) + lo g_{10} (1 0^{6})

= - (lo g_{10} (7.56) + lo g_{10} (1 0^{6}))

Apply log rule:

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

lo g_{10} (1 0^{6}) = 6 lo g_{10} (10)

= - (lo g_{10} (7.56) + 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (7.56) + 6)

Distribute parentheses

= - (lo g_{10} (7.56)) - (6)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (7.56) - 6

ln (373 e^{- x + 9} e^{2 y + 14})

lo g_{5} (x) + 3 lo g_{5} (y)

lo g_{10} (\frac{x ^{3}}{7})

ln (\frac{y - 2}{y + 2})

ln (x^{5}) - ln (x^{2})

What is simplify-log_{10}(7.56*10^6) ?
The solution to simplify-log_{10}(7.56*10^6) is -log_{10}(7.56)-6