help pls nerds
d
is it actually?
yup
ugh im not typing it all out
well I would prefer to see the math done lol
damn
i used chat gpt
lol
ok I have more
oh no
Since no one else is going to, I'll just give you the general formular for change of base: \[\large log_{a}(x) = \frac{log_{b}(x)}{log_{b}(a)} \] Where b is the standard base of 10 So in your first problem, it would be \[\Large log_{13}(17.21) = \frac{log_{10}(17.21)}{log_{10}(13)} \]
so does that mean that the answer is c?
For the first one, it should be the same, so 1.109
yes that's what I thought I don't trust chat gpt because it isn't always accruate
For the second one, you're gonna use the general rules of: \[\large ln(x)*ln(y) = ln(x)+ln(y) \] \[\large ln (x) - ln (y) = ln \frac{x}{y} \] \[\large a*ln (x)= x^a \]
so that means that i would get ln (13/w^1 1 x^5)?
This might be a long one so I'll try shortening it: First condense the exponents \[\large ln(13)+ln(x^3)+ln(w^{11})-ln(w^{12})-ln(x^8) \] Now apply the multiplication/subtracting properties: \[\large ln(13*x^3*w^{11})-ln(w^{12})-ln(x^8) \] \[\large ln \frac{ (13*x^3*w^{11})}{(w^{12})} -ln(x^8) \] \[\large ln \frac{ (13*x^3)}{(w)} -ln(x^8) \] \[\large ln \frac{ (13*x^3)}{(w*x^8)}\] \[\large ln \frac{ (13)}{(w*x^5)}\]
Might need to be double checked but that's the process
ln(13xw^11/x^8)
this is the answer I got
when I used the general rules you provided on the equation
oh wait I wrote something wrong
so its ln(13/w times x^8)?
*x^5 I'm pretty sure, cause of the \(\Large \frac{x^3}{x^8} \) reduces to \(\Large \frac{1}{x^5} \)
Ou nerds
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