What is log_{10}((ab^7)/(c^8)) ?

The solution to log_{10}((ab^7)/(c^8)) is log_{10}(a)+7log_{10}(b)-8log_{10}(c)

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simplify log_{10}((ab^7)/(c^8))

simplify

lo g_{10} (\frac{a b ^{7}}{c ^{8}})

lo g_{10} (a) + 7 lo g_{10} (b) - 8 lo g_{10} (c)

Solution steps

lo g_{10} (\frac{a b ^{7}}{c ^{8}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{a b ^{7}}{c ^{8}}) = lo g_{10} (a b^{7}) - lo g_{10} (c^{8})

= lo g_{10} (a b^{7}) - lo g_{10} (c^{8})

lo g_{10} (a b^{7}) = lo g_{10} (a) + 7 lo g_{10} (b)

lo g_{10} (c^{8}) = 8 lo g_{10} (c)

= lo g_{10} (a) + 7 lo g_{10} (b) - 8 lo g_{10} (c)

lo g_{2} (A B^{2})

ln (\frac{( 3 ^{x} 6 ^{2 x} )}{2 ^{2 x}})

lo g_{6} (\frac{1}{z ^{3}})

ln (e^{x} x)

- ln (3) + 2 ln (2)

What is log_{10}((ab^7)/(c^8)) ?
The solution to log_{10}((ab^7)/(c^8)) is log_{10}(a)+7log_{10}(b)-8log_{10}(c)