What is 4log_{2}(u)+5log_{2}(v) ?

The solution to 4log_{2}(u)+5log_{2}(v) is log_{2}(u^4v^5)

Popular >

simplify 4log_{2}(u)+5log_{2}(v)

simplify

4 lo g_{2} (u) + 5 lo g_{2} (v)

lo g_{2} (u^{4} v^{5})

Solution steps

4 lo g_{2} (u) + 5 lo g_{2} (v)

Apply log rule:

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

4 lo g_{2} (u) = lo g_{2} (u^{4})

= lo g_{2} (u^{4}) + 5 lo g_{2} (v)

Apply log rule:

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

5 lo g_{2} (v) = lo g_{2} (v^{5})

= lo g_{2} (u^{4}) + lo g_{2} (v^{5})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (u^{4}) + lo g_{2} (v^{5}) = lo g_{2} (u^{4} v^{5})

= lo g_{2} (u^{4} v^{5})

2 ln (3) + ln (2) - \frac{ln ( 6 )}{ln ( e )}

lo g_{5} (\frac{a ^{3}}{b ^{2}})

ln (4 e^{6})

lo g_{10} (2 x - 7) - lo g_{10} (x - 1)

lo g_{b} (\frac{p ^{4} q ^{7}}{m ^{4} b ^{7}})

What is 4log_{2}(u)+5log_{2}(v) ?
The solution to 4log_{2}(u)+5log_{2}(v) is log_{2}(u^4v^5)