What is log_{10}((a^4b^3)/(c^2)) ?

The solution to log_{10}((a^4b^3)/(c^2)) is 4log_{10}(a)+3log_{10}(b)-2log_{10}(c)

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simplify log_{10}((a^4b^3)/(c^2))

simplify

lo g_{10} (\frac{a ^{4} b ^{3}}{c ^{2}})

4 lo g_{10} (a) + 3 lo g_{10} (b) - 2 lo g_{10} (c)

Solution steps

lo g_{10} (\frac{a ^{4} b ^{3}}{c ^{2}})

Apply log rule:

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

lo g_{10} (\frac{a ^{4} b ^{3}}{c ^{2}}) = lo g_{10} (a^{4} b^{3}) - lo g_{10} (c^{2})

= lo g_{10} (a^{4} b^{3}) - lo g_{10} (c^{2})

lo g_{10} (a^{4} b^{3}) = 4 lo g_{10} (a) + 3 lo g_{10} (b)

lo g_{10} (c^{2}) = 2 lo g_{10} (c)

= 4 lo g_{10} (a) + 3 lo g_{10} (b) - 2 lo g_{10} (c)

7 lo g_{3} (u) + 2 lo g_{3} (v)

lo g_{4} (x) y^{2} + 2 lo g_{4} (\frac{x}{y})

3 \cdot lo g_{10} (3) - 2 \cdot lo g_{10} (6)

lo g_{3} (5 x)

lo g_{6} (\frac{a}{b})

What is log_{10}((a^4b^3)/(c^2)) ?
The solution to log_{10}((a^4b^3)/(c^2)) is 4log_{10}(a)+3log_{10}(b)-2log_{10}(c)