Question

I need help with logs. Thank you!

Evaluate.
1. log base(3) 25 to the cubed root

Condense.
2. 1/3logx + 2logy^3 -3log(z+1)

Answer 1

1.
I'm actually not sure what you meant by "to the cubed root", but if you mean this:
log3 (cuberoot(25))
Just use a calculator to get its value.
log3 (cuberoot(25)) = 0.97665

2.
1/3 logx + 2 logy^3 - 3 log(z+1)
You should recall some laws of exponents.
log (x^(1/3)) + log ((y^3)^2) - 3 log ((z+1)^3)
log (x^(1/3)) + log (y^6) - 3 log ((z+1)^3)
log ( x^(1/3) * (y^6) / (z+1)^3 )

hope this helps~ `u`