What is simplify-log_{10}(x)+2*log_{10}(y)-1 ?

The solution to simplify-log_{10}(x)+2*log_{10}(y)-1 is log_{10}((y^2)/x)-1

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simplify-log_{10}(x)+2*log_{10}(y)-1

simplify

- lo g_{10} (x) + 2 \cdot lo g_{10} (y) - 1

lo g_{10} (\frac{y ^{2}}{x}) - 1

Solution steps

- lo g_{10} (x) + 2 lo g_{10} (y) - 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= - lo g_{10} (x) + lo g_{10} (y^{2}) - 1

Apply log rule:

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

lo g_{10} (y^{2}) - lo g_{10} (x) = lo g_{10} (\frac{y ^{2}}{x})

= lo g_{10} (\frac{y ^{2}}{x}) - 1

lo g_{6} (8 x)

ln (\frac{575}{\frac{500}{10}})

ln (x (\frac{y}{x} + 1 + 1)^{2})

- ln (cos (x)) + ln (cos (y))

\frac{1}{3} ln (16 p) - 3 ln (2 pq) - 2 ln (5 p^{4}) + 6 ln (q)

What is simplify-log_{10}(x)+2*log_{10}(y)-1 ?
The solution to simplify-log_{10}(x)+2*log_{10}(y)-1 is log_{10}((y^2)/x)-1