What is expand-log_{10}(8.41*0.001) ?

The solution to expand-log_{10}(8.41*0.001) is -log_{10}(8.41)-log_{10}(0.001)

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expand-log_{10}(8.41*0.001)

expand

- lo g_{10} (8.41 \cdot 0.001)

- lo g_{10} (8.41) - lo g_{10} (0.001)

Decimal Notation

2.07520 \dots

Solution steps

- lo g_{10} (8.41 \cdot 0.001)

Apply log rule:

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

lo g_{10} (8.41 \cdot 0.001) = lo g_{10} (8.41) + lo g_{10} (0.001)

= - (lo g_{10} (8.41) + lo g_{10} (0.001))

Distribute parentheses

= - (lo g_{10} (8.41)) - (lo g_{10} (0.001))

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (8.41) - lo g_{10} (0.001)

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What is expand-log_{10}(8.41*0.001) ?
The solution to expand-log_{10}(8.41*0.001) is -log_{10}(8.41)-log_{10}(0.001)