What is log_{10}((a^2\times b)/c) ?

The solution to log_{10}((a^2\times b)/c) is 2log_{10}(a)+log_{10}(b)-log_{10}(c)

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simplify log_{10}((a^2\times b)/c)

simplify

lo g_{10} (\frac{a ^{2} \cdot b}{c})

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

Solution steps

lo g_{10} (\frac{a ^{2} b}{c})

Apply log rule:

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

lo g_{10} (\frac{a ^{2} b}{c}) = lo g_{10} (a^{2} b) - lo g_{10} (c)

= lo g_{10} (a^{2} b) - lo g_{10} (c)

Simplify

lo g_{10} (a^{2} b) : 2 lo g_{10} (a) + lo g_{10} (b)

= 2 lo g_{10} (a) + lo g_{10} (b) - lo g_{10} (c)

lo g_{2} (\frac{1}{32} p^{3} q)

6 lo g_{2} (x) - 7 lo g_{2} (y)

3 lo g_{7} (v) + 6 lo g_{7} (w) - \frac{lo g _{7} ( u )}{3}

lo g_{2} (6) - lo g_{2} (25) + lo g_{2} (20)

lo g_{10} (x + 1) - lo g_{10} (x)

What is log_{10}((a^2\times b)/c) ?
The solution to log_{10}((a^2\times b)/c) is 2log_{10}(a)+log_{10}(b)-log_{10}(c)