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Question

If m=log 20 and n=log 25, find the value of x, so that : 2 log (x4)=2mn.

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Solution

m=log 20 and n=log 25
2logopen parentheses x minus 4 close parentheses=2m-n
2logopen parentheses x minus 4 close parentheses=2log 20-log 25
logopen parentheses x minus 4 close parentheses squared=log20 squared-log25
logopen parentheses x minus 4 close parentheses squared=log400 over 25
open parentheses x minus 4 close parentheses squared=400 over 25
x-4=4
x=8

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