log((x(sqrt�ã(X^2+1)/(x+1)^(2/3)))^6

Any ideas would be great, thanks

2 answers

that should be x times the square root of x squared plus one divided by( or fraction bar) x plus one raised to the 2/3 power, all raised to the power of 6
You will have to know the 3 main rules of logs
log (AB) = logA + logB
log(A/B) = logA - logB
log A^n = nlogA

so the outer exponent 6 can be brought down immediately to ge

6log(x√(x^2 + 1)/(x+1)^(2/3) )
= 6 ( logx + (1/2)log(x^2 + 1) - (2/3)log(x+1) )
= 6logx + 3log(x^2 + 1) - 4log(x+1)
Similar Questions
  1. Evaluate sqrt7x (sqrt x-7 sqrt7) Show your work.sqrt(7)*sqrt(x)-sqrt(7)*7*sqrt(7) sqrt(7*x)-7*sqrt(7*7) sqrt(7x)-7*sqrt(7^2)
    1. answers icon 1 answer
  2. sqrt 6 * sqrt 8also sqrt 7 * sqrt 5 6.92820323 and 5.916079783 So you can see the steps — sqrt 6 * sqrt 8 = sqrt 48 sqrt 7 *
    1. answers icon 0 answers
    1. answers icon 1 answer
  3. Find the distance between these two points using the Pythagorean Theorem.Which choice is correct? (1 point) sqrt(6 ^ 2) + 3 ^ 2
    1. answers icon 1 answer
more similar questions