Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
502
1
avatar

Let a,b, and c be the roots of 24x^3 - 121x^2 + 87x - 8 = 0 Find $\log_3(a)+\log_3(b)+\log_3(c).

 May 12, 2021
 #1
avatar+26399 
+2

Let a,b, and c be the roots of 24x3121x2+87x8 = 0
Find
log3(a)+log3(b)+log3(c).

 

Vieta: abc=824

 

log3(a)+log3(b)+log3(c)=log3(abc)=log(abc)log(3)|824=abc=log(824)log(3)=log(13)log(3)=log(1)log(3)log(3)|log(1)=0=log(3)log(3)=1

 

laugh

 May 12, 2021

3 Online Users

avatar