What is log_{6}(sqrt(x))-log_{6}(x^9) ?

The solution to log_{6}(sqrt(x))-log_{6}(x^9) is log_{6}((sqrt(x))/(x^9))

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simplify log_{6}(sqrt(x))-log_{6}(x^9)

simplify

lo g_{6} (x) - lo g_{6} (x^{9})

lo g_{6} (\frac{x}{x ^{9}})

Solution steps

lo g_{6} (x) - lo g_{6} (x^{9})

Apply log rule:

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

lo g_{6} (x) - lo g_{6} (x^{9}) = lo g_{6} (\frac{x}{x ^{9}})

= lo g_{6} (\frac{x}{x ^{9}})

ln (1.0 5^{t}) e + ln (1.0 2^{t})

1 - lo g_{4} (m - 1) + lo g_{4} (m + 1)

c lo g_{a} (x) + 2 lo g_{a} (y) - 4 lo g_{a} (x)

lo g_{10} (5 \frac{6}{x ^{7}})

lo g_{5} (\frac{25 b ^{5} y ^{2} - 1}{y ( x + 1 ) ^{2}})

What is log_{6}(sqrt(x))-log_{6}(x^9) ?
The solution to log_{6}(sqrt(x))-log_{6}(x^9) is log_{6}((sqrt(x))/(x^9))