this post was submitted on 04 May 2024
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[–] TraschcanOfIdeology@hexbear.net 5 points 9 months ago* (last edited 9 months ago) (1 children)

For problem two: I got to the answer by substituting a = 0.2^3 if you try that, you'll get two roots with the same things inside, leading you to compare only the root exponents

For problem 3: you're on the right track, just change the base of the logarithm on the left hand side by remembering ln(x) =log 3 (x)/log 3(e). From there, you just need to isolate all the x on one side, the log 3(e) on the other, and do 3 to the power of that to get just x on the left-hand side. Then you can use that property of logarithms on the right hand side to get all the log 3(e) in terms of ln(3) and simplify some more.

[–] AernaLingus@hexbear.net 4 points 9 months ago

Thanks heaps—managed to get them both! It's good to know I wasn't too far off. I had a feeling I needed to do change of base but I wasn't exactly sure where I needed to go with it.