Solve for x

find x

( 3/5)^x+ (4/5)^x=1

2 Answers

Easy one first plot graph of (3/5)^x and then 1-(4/5)^x.....
to see that they intersect only one....

Then 3 4 5 are magic nos for square...... so answer is 2

This is a strictly decreasing function.

x=2 is one solution! So it is the only solution :)

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