We can use, mainly, the next properties of the logarithms:
[tex]\log _b(m\cdot n)=\log _bm+\log _bn[/tex][tex]\log _bm^r=r\log _bm[/tex]
Then, we have that:
1. First, we can use the previous property:
[tex]\log _4v+\log _4w^5+\log _4x^2+\log _4u^{\frac{1}{3}}[/tex]
2. We can condense the first two terms using the first property:
[tex]\log _4(v\cdot w^5)+\log _4x^2+\log _4u^{\frac{1}{3}}[/tex]
3. We can proceed similarly using the third term, and then the fourth term:
[tex]\log _4(v\cdot w^5\cdot x^2)+log_4u^{\frac{1}{3}}[/tex]
4. Finally, we have that the con:
[tex]\log _4(v\cdot w^5\cdot x^2\cdot u^{\frac{1}{3}})[/tex]
