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Question

The number of solutions of log2(x+5)=6x is 


Solution

We have 
log2(x+5)=6xx+5=26x
In order to find the values of x satisfying the above equations, let us consider the graphs of the functions y=x+5 and y=26x.
We observe that the two curves intersect at exactly one point. Hence, the given equation has exactly one solution.

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