What is expand log_{10}(5)(8x-1) ?

The solution to expand log_{10}(5)(8x-1) is 8log_{10}(5)x-log_{10}(5)

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expand log_{10}(5)(8x-1)

expand

lo g_{10} (5) (8 x - 1)

8 lo g_{10} (5) x - lo g_{10} (5)

Solution steps

lo g_{10} (5) (8 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

lo g_{10} (5) (8 x - 1) = lo g_{10} (5) \cdot 8 x - lo g_{10} (5) \cdot 1

= lo g_{10} (5) \cdot 8 x - lo g_{10} (5) \cdot 1

Simplify

lo g_{10} (5) \cdot 8 x - lo g_{10} (5) \cdot 1 : 8 lo g_{10} (5) x - lo g_{10} (5)

= 8 lo g_{10} (5) x - lo g_{10} (5)

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What is expand log_{10}(5)(8x-1) ?
The solution to expand log_{10}(5)(8x-1) is 8log_{10}(5)x-log_{10}(5)