SOLUTION: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms. The 8 being the base (small 8 at the bottom of the g) I understand natural logarithms is LN, right? So

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms. The 8 being the base (small 8 at the bottom of the g) I understand natural logarithms is LN, right? So      Log On


   

Question 45457: My problem is rewrite log8 (xsquared + 1) in terms of natural logarithms.
The 8 being the base (small 8 at the bottom of the g)
I understand natural logarithms is LN, right? So I turnerd it into
8 to the power of y = x squared + 1.
Then from there I am stuck. Where does the LN come in?
Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite log8 (x^2 + 1) in terms of natural logarithms.
The 8 being the base (small 8 at the bottom of the g)
I understand natural logarithms is LN, right? So I turnerd it into
8 to the power of y = x squared + 1.
The log law is log(base a)b = [log(base c)b]/[log(base c)a]
The base c may be any positive number except c=1.
So log (base 8)(x^2+1) can be written as [ln(x^2+1)]/[ln8]
Cheers,
Stan H.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
log%288%2C%28x%5E2+%2B+1%29%29+=+y
%28x%5E2+%2B+1%29+=+8%5Ey
log%28e%2C%28x%5E2+%2B+1%29%29+=+log%28e%2C8%5Ey%29
log%28e%2C%28x%5E2+%2B+1%29%29+=+y%2Alog%28e%2C8%29
log%28e%2C%28x%5E2+%2B+1%29%29%2Flog%28e%2C8%29+=+y
log%28e%2Cx%29 is that same as ln%28x%29