SOLUTION: determine the value of b, c and d if log3(root x^b y^c / w^d ) = 3/2log3(x) + log3(y) - 1/2 log3(w) then show that d=bc-5 pls help me with this problem asap the whole fraction

Algebra.Com
Question 1173506: determine the value of b, c and d if log3(root x^b y^c / w^d ) = 3/2log3(x) + log3(y) - 1/2 log3(w) then show that d=bc-5
pls help me with this problem asap the whole fraction is in the square root for the first log
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


Lets work with the left hand side (LHS) first:





= 



Use property 



= 



Now apply   and  



= 





Now compare this LHS to what they gave you for the RHS and you should be able to use simple calculations to get b,c, and d.   





 

RELATED QUESTIONS


1) suppose that g(x) = 5^x - 3.
a) what is g(0)?
b) What point is on the graph of g?... (answered by ankor@dixie-net.com)

3. 
Write log3^15 - log3^10 as a single logarithm.


A. 	log3^3 
B. 	log3^3/2
C.... (answered by Bobb)

Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what  (answered by ewatrrr)

Please help with this:

Found the x values if log3 3x - log3 (x-4) = 2
A)6
B)9
C)64
 (answered by tommyt3rd)

Please help me with these questions ASAP!!
Suppose that f(x)=log3(x-1)
a)If f(6)=1.4... (answered by jsmallt9)

please help me solve this problem:  log3(0.1)+2log3(x)=... (answered by Earlsdon)

(1/5)log3(y)+3log3(x)-log3(w) simplify into one... (answered by ankor@dixie-net.com)

If f(x) = log3 (x + 1), what is f−1(2)? 

A) 1 

B) 8 

C) 10 

D) 27 
 (answered by Edwin McCravy)

what is the equivalent value of log1/3 + log3=?
a. 0
b. 1
c. log3.3
d. cannot be... (answered by ankor@dixie-net.com)