(Anyone Want To Be F r i e n d's?)
1 answer:
You might be interested in
Answer: The correct answer is: " 3 " .
_______________________________
Step-by-step explanation:
_______________________________
The problem given is:
_______________________________
Evaluate: log 2 base 8 .
_______________________________
Rewrite as: " " ;
_______________________
Take note of the following definition of a logarithm:
_______________________
" " ; ↔ "
" ;
_______________________
in which: refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
______________________________
As such:
" "
⇔ " " ; Solve for "x" ;
_______________
Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
___________________
→ " " ;
→ " " ; since: "
" ;
→ as such: " x = 3 " ;
______________________
Thus:
"log 2 base 8 " ;
= .
_______________________
Hope this helps!
Best wishes to you!