SOLUTION: log 10 (log 8 8)= X The 10 and first 8 are subscripts. I added spaces, so it wouldn't get mushed together. Thank you for the help!!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log 10 (log 8 8)= X The 10 and first 8 are subscripts. I added spaces, so it wouldn't get mushed together. Thank you for the help!!      Log On


   

Question 113531This question is from textbook Glencoe Algebra 2
: log 10 (log 8 8)= X
The 10 and first 8 are subscripts. I added spaces, so it wouldn't get mushed together.
Thank you for the help!! This question is from textbook Glencoe Algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C%28log%288%2C+%288%29%29%29%29=x Start with the given equation


log%2810%2C%281%29%29=x Evaluate the inner expression log%288%2C%288%29%29 to get 1. Remember log%28x%2C%28x%29%29=1 for any x.



log%2810%2C%2810%5E0%29%29=x Rewrite 1 as 10%5E0. This is valid since x%5E0=1 for any x.



0%2Alog%2810%2C%2810%29%29=x Now bring out the exponent using the identity log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29


0%2A1=x Now evaluate log%2810%2C%2810%29%29 using the idea that log%28x%2C%28x%29%29=1


0=x Multiply


So our answer is x=0