What is expand log_{10}(B^{-5}) ?

The solution to expand log_{10}(B^{-5}) is -5log_{10}(B)

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expand log_{10}(B^{-5})

expand

lo g_{10} (B^{- 5})

- 5 lo g_{10} (B)

Solution steps

lo g_{10} (B^{- 5})

Apply log rule:

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

lo g_{10} (B^{- 5}) = - 5 lo g_{10} (B)

= - 5 lo g_{10} (B)

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What is expand log_{10}(B^{-5}) ?
The solution to expand log_{10}(B^{-5}) is -5log_{10}(B)