What is 3log_{10}(a)-4log_{10}(y) ?

The solution to 3log_{10}(a)-4log_{10}(y) is log_{10}((a^3)/(y^4))

Popular >

simplify 3log_{10}(a)-4log_{10}(y)

simplify

3 lo g_{10} (a) - 4 lo g_{10} (y)

lo g_{10} (\frac{a ^{3}}{y ^{4}})

Solution steps

3 lo g_{10} (a) - 4 lo g_{10} (y)

Apply log rule:

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

3 lo g_{10} (a) = lo g_{10} (a^{3})

= lo g_{10} (a^{3}) - 4 lo g_{10} (y)

Apply log rule:

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

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

= lo g_{10} (a^{3}) - lo g_{10} (y^{4})

Apply log rule:

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

lo g_{10} (a^{3}) - lo g_{10} (y^{4}) = lo g_{10} (\frac{a ^{3}}{y ^{4}})

= lo g_{10} (\frac{a ^{3}}{y ^{4}})

4 ln (\frac{y}{x}) + 4 ln (x)

ln (y = x \cdot e^{x^{2}} \cdot (x^{2} + 10)^{10})

ln (ln (5) - 7 ln (10))

ln (\frac{2000}{1999}) 111

- 0.402 - \frac{0.05916}{2} lo g_{10} (\frac{0.5}{1})

What is 3log_{10}(a)-4log_{10}(y) ?
The solution to 3log_{10}(a)-4log_{10}(y) is log_{10}((a^3)/(y^4))