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Find the value of x in 4^x+16^x= 272

Find the value of x in 4^x+16^x= 272
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5 votes
Find the value of x in 4^x+16^x= 272

asked
User Hamishmcn
by
7.6k points

1 Answer

1 vote

Answer:

1.353

Explanation:

16=4^2

4^x+4^(2x)=272

4^(x+2x)=272

3x=272^(1/4)

x=1/3*272^(1/4)=1.353

answered
User Speigg
by
7.7k points
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