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

The solution to expand log_{10}(zx^5) is log_{10}(z)+5log_{10}(x)

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expand log_{10}(zx^5)

expand

lo g_{10} (z x^{5})

lo g_{10} (z) + 5 lo g_{10} (x)

Solution steps

lo g_{10} (z x^{5})

Apply log rule:

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

lo g_{10} (z x^{5}) = lo g_{10} (z) + lo g_{10} (x^{5})

= lo g_{10} (z) + lo g_{10} (x^{5})

Apply log rule:

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

lo g_{10} (x^{5}) = 5 lo g_{10} (x)

= lo g_{10} (z) + 5 lo g_{10} (x)

2 ln \frac{1}{2} - ln \frac{3}{4}

lo g_{b} ((\frac{x ^{4}}{y ^{3} z ^{2}})^{- 5})

- lo g_{10} (7.1 \cdot 1 0^{- 10})

lo g_{a} (x) - 3 lo g_{a} (x - y) - \frac{1}{2} lo g_{a} (x)

lo g_{6} (\frac{x ^{7} ( x + 9 )}{( x - 4 ) ^{5}})

What is expand log_{10}(zx^5) ?
The solution to expand log_{10}(zx^5) is log_{10}(z)+5log_{10}(x)