What is expand log_{10}((x^6)/z) ?

The solution to expand log_{10}((x^6)/z) is 6log_{10}(x)-log_{10}(z)

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expand log_{10}((x^6)/z)

expand

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

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

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x ^{6}}{z}) = lo g_{10} (x^{6}) - lo g_{10} (z)

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

Apply log rule:

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

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

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

2 lo g_{7} (u) + 4 lo g_{7} (v)

ln (x + y) - ln (x)

lo g_{2} (3) + lo g_{2} (z)

5 lo g_{10} (a) - lo g_{10} (b) + 3 lo g_{10} (c)

lo g_{t} (M) + lo g_{t} (N)

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