What is log_{10}((r^2s^6)/(t^4)) ?

The solution to log_{10}((r^2s^6)/(t^4)) is 2log_{10}(r)+6log_{10}(s)-4log_{10}(t)

Popular >

simplify log_{10}((r^2s^6)/(t^4))

simplify

lo g_{10} (\frac{r ^{2} s ^{6}}{t ^{4}})

2 lo g_{10} (r) + 6 lo g_{10} (s) - 4 lo g_{10} (t)

Solution steps

lo g_{10} (\frac{r ^{2} s ^{6}}{t ^{4}})

Apply log rule:

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

lo g_{10} (\frac{r ^{2} s ^{6}}{t ^{4}}) = lo g_{10} (r^{2} s^{6}) - lo g_{10} (t^{4})

= lo g_{10} (r^{2} s^{6}) - lo g_{10} (t^{4})

lo g_{10} (r^{2} s^{6}) = 2 lo g_{10} (r) + 6 lo g_{10} (s)

lo g_{10} (t^{4}) = 4 lo g_{10} (t)

= 2 lo g_{10} (r) + 6 lo g_{10} (s) - 4 lo g_{10} (t)

lo g_{10} (\frac{z ^{3} y ^{2}}{x})

\frac{1}{2} lo g_{b} (x) + 3 lo g_{b} (y) - 4 lo g_{b} (x)

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

lo g_{3} (\frac{243}{x - 4})

ln (x^{2} 3 x - 2)

What is log_{10}((r^2s^6)/(t^4)) ?
The solution to log_{10}((r^2s^6)/(t^4)) is 2log_{10}(r)+6log_{10}(s)-4log_{10}(t)