What is expand log_{10}(zx^6) ?

The solution to expand log_{10}(zx^6) is log_{10}(z)+6log_{10}(x)

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expand log_{10}(zx^6)

expand

lo g_{10} (z x^{6})

lo g_{10} (z) + 6 lo g_{10} (x)

Solution steps

lo g_{10} (z x^{6})

Apply log rule:

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

lo g_{10} (z x^{6}) = lo g_{10} (z) + lo g_{10} (x^{6})

= lo g_{10} (z) + lo g_{10} (x^{6})

Apply log rule:

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

lo g_{10} (x^{6}) = 6 lo g_{10} (x)

= lo g_{10} (z) + 6 lo g_{10} (x)

- \frac{1}{0.00012} ln (\frac{0.211}{1})

lo g_{5} (\frac{50 w ^{7}}{2 h ^{5}})

5 ln (x - 2) + 3 ln (4) - ln (8) - 2 ln (x) - \frac{1}{2} ln (81)

\frac{\frac{423324672 \cdot 6}{( 3 - 3 )}}{ln ( 1 + 3 ) + ln ( 1 - 3 )}

- lo g_{10} (7.3 X 1 0^{- 5})

What is expand log_{10}(zx^6) ?
The solution to expand log_{10}(zx^6) is log_{10}(z)+6log_{10}(x)