The diagram shows part of the graph of \(y=\log_a(x+5)\). The vertical asymptote is \(x=b\) and the \(y\)-intercept is \(1\), where \(a\) and \(b\) are constants. Find the values of \(a\) and \(b\).[2]
Solve \(2^{\dfrac{x}{2}+3}+21=5(2^x)\).[4]
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