What is 4log_{6}(a)-7log_{6}(b) ?

The solution to 4log_{6}(a)-7log_{6}(b) is log_{6}((a^4)/(b^7))

Popular >

simplify 4log_{6}(a)-7log_{6}(b)

simplify

4 lo g_{6} (a) - 7 lo g_{6} (b)

lo g_{6} (\frac{a ^{4}}{b ^{7}})

Solution steps

4 lo g_{6} (a) - 7 lo g_{6} (b)

Apply log rule:

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

4 lo g_{6} (a) = lo g_{6} (a^{4})

= lo g_{6} (a^{4}) - 7 lo g_{6} (b)

Apply log rule:

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

7 lo g_{6} (b) = lo g_{6} (b^{7})

= lo g_{6} (a^{4}) - lo g_{6} (b^{7})

Apply log rule:

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

lo g_{6} (a^{4}) - lo g_{6} (b^{7}) = lo g_{6} (\frac{a ^{4}}{b ^{7}})

= lo g_{6} (\frac{a ^{4}}{b ^{7}})

ln (y) - \frac{1}{2} (ln (1 + y) + ln (1 - y))

2 ln (2) + 2 ln (x)

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

ln (\frac{sin ( x )}{cos ( x )})

4 lo g_{6} (x) - 3 lo g_{6} (y)

What is 4log_{6}(a)-7log_{6}(b) ?
The solution to 4log_{6}(a)-7log_{6}(b) is log_{6}((a^4)/(b^7))