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1. (i) Show, graphically or otherwise, that the equation
2^x+3^x= 4
has exactly one root.
Show that the root lies in the interval [ . 0 7, . 0 8].

How do we show this "otherwise"

Is it just sign change?
2. (Original post by Acrux)
(i) Show, graphically or otherwise, that the equation
2^x+3^x= 4
has exactly one root.
Show that the root lies in the interval [ . 0 7, . 0 8].

How do we show this "otherwise"

Is it just sign change?
is strictly increasing f(0)<0 and f(1)>0 so has exactly one root. or f(0.7)<0, f(0.8)>0 so root lies in (0.7,0.8)

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