What is log_{10}((x^7z^9)/(sqrt(y))) ?

The solution to log_{10}((x^7z^9)/(sqrt(y))) is 7log_{10}(x)+9log_{10}(z)-log_{10}(sqrt(y))

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simplify log_{10}((x^7z^9)/(sqrt(y)))

simplify

lo g_{10} (\frac{x ^{7} z ^{9}}{y})

7 lo g_{10} (x) + 9 lo g_{10} (z) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x ^{7} z ^{9}}{y})

Apply log rule:

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

lo g_{10} (\frac{x ^{7} z ^{9}}{y}) = lo g_{10} (x^{7} z^{9}) - lo g_{10} (y)

= lo g_{10} (x^{7} z^{9}) - lo g_{10} (y)

Simplify

lo g_{10} (x^{7} z^{9}) : 7 lo g_{10} (x) + 9 lo g_{10} (z)

= 7 lo g_{10} (x) + 9 lo g_{10} (z) - lo g_{10} (y)

2 (lo g_{10} (3) - lo g_{10} (5))

ln (16 e)

lo g_{10} (a) \frac{1}{4} - lo g_{10} (b) \frac{1}{2}

4 lo g_{10} (x) - 6 lo g_{10} (x + 2)

lo g_{10} (\frac{10 z}{9})

What is log_{10}((x^7z^9)/(sqrt(y))) ?
The solution to log_{10}((x^7z^9)/(sqrt(y))) is 7log_{10}(x)+9log_{10}(z)-log_{10}(sqrt(y))