What is equivalent to ln(17e^2)?

Question

What is equivalent to ln(17e^2)?

 

So I am really bad at reducing log and natural log expressions. I thought it might be 17^2, because natural log and e cancel but then I noticed they aren't raised to a power of each other. Then I thought it could reduce to 2ln(17) and make e the base, but the whole thing wasn't raised to the power of 2 so I don't know. I'm not sure what thought process I should take, please help me.

 

Answer 1

Just apply the properties of logarithms step by step to evaluate this:

 

ln(17e²) = ln(17) + ln(e²) = ln(17) + 2ln(e) = ln(17) + 2(1)

 

ln(17e²) = 2 + ln(17)