What is 5-log_{10}(4.3*10^{-5}) ?

The solution to 5-log_{10}(4.3*10^{-5}) is 11-log_{10}(43)

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simplify 5-log_{10}(4.3*10^{-5})

simplify

5 - lo g_{10} (4.3 \cdot 1 0^{- 5})

11 - lo g_{10} (43)

Decimal Notation

9.36653 \dots

Solution steps

5 - lo g_{10} (4.3 \cdot 1 0^{- 5})

lo g_{10} (4.3 \cdot 1 0^{- 5}) = lo g_{10} (43) - 6

= 5 - (lo g_{10} (43) - 6)

Expand

- (lo g_{10} (43) - 6) : - lo g_{10} (43) + 6

= 5 - lo g_{10} (43) + 6

Add the numbers:

5 + 6 = 11

= 11 - lo g_{10} (43)

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What is 5-log_{10}(4.3*10^{-5}) ?
The solution to 5-log_{10}(4.3*10^{-5}) is 11-log_{10}(43)