What is 2log_{10}(x)-8log_{10}(y) ?

The solution to 2log_{10}(x)-8log_{10}(y) is log_{10}((x^2)/(y^8))

Popular >

simplify 2log_{10}(x)-8log_{10}(y)

simplify

2 lo g_{10} (x) - 8 lo g_{10} (y)

lo g_{10} (\frac{x ^{2}}{y ^{8}})

Solution steps

2 lo g_{10} (x) - 8 lo g_{10} (y)

Apply log rule:

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

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

= lo g_{10} (x^{2}) - 8 lo g_{10} (y)

Apply log rule:

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

8 lo g_{10} (y) = lo g_{10} (y^{8})

= lo g_{10} (x^{2}) - lo g_{10} (y^{8})

Apply log rule:

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

lo g_{10} (x^{2}) - lo g_{10} (y^{8}) = lo g_{10} (\frac{x ^{2}}{y ^{8}})

= lo g_{10} (\frac{x ^{2}}{y ^{8}})

- lo g_{10} (2 \cdot 1 0^{- 2})

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

2 ln (3) + ln (5)

lo g_{10} (\frac{x ^{2} y ^{5}}{z})

7 \cdot ln (a) - 4 \cdot ln (b)

What is 2log_{10}(x)-8log_{10}(y) ?
The solution to 2log_{10}(x)-8log_{10}(y) is log_{10}((x^2)/(y^8))