If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following. ln[(sqrt)(b^2)(c^2)(a^-2)]

Answer 1

Hi Landon,

Use just two general rules:

1. ln(x^a)=aln(x) [a can be any real number (let's leave complex logarithms aside)]

2. ln(xy)=ln(x)+ln(y)

Those two rules would allow you to solve all problems on logarithms of powers and products

Answer 2

Hello Landon,

For this question, I highly recommend you move forward with using log properties such as:

ln(a*b) = ln(a) + ln(b)

ln(a/b) = ln(a) - ln(b)

ln(a^b) = b*ln(a)

For your specific problem, you will look towards expanding it using a combination of the properties I listed above as it is currently in condensed form. Please let me know if you any further questions!