Question

Expand log(100x2y5)

need help for upcoming test!!

Answer 1

Log(100x2y5) = log(100) + log(2) + log(y) + log(5)

= 2 + log(2) + log(y) + log(5)

= 2 + 1 + log(y) + log(5)

= 3 + log(y) + log(5)

= 3 + log(y5)

= 3 + log(250)

= 3 + 2.39794

= 5.39794

Answer 2

Sure! Using the properties of logarithms, we can expand log(100x^2y^5) as follows:

log(100x^2y^5) = log(100) + log(x^2) + log(y^5)

= log(10^2) + 2*log(x) + 5*log(y)

= 2 + 2*log(x) + 5*log(y).