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How do you condense this expression into a single logarithm? #log_(5)x/2+log_(5)y/2+log_(5)z/2#

1 Answer

Aditya Banerjee.

Dec 3, 2016

The Answer is #log_5sqrt(xyz)#.

Explanation:

#(log_5x)/2+(log_5y)/2+(log_5z)/2#.

#=1/2[log_5x+log_5y+log_5z]#.

#=1/2[log_5(x)xx(y)xx(z)]#.

#=1/2log_5xyz#.

#=log_5(xyz)^(1/2)#.

#=log_5sqrt(xyz)#. (Answer).

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