I have the function f(x)=log_bx is shown as a graph and the only two points are (5,1) and it's asking me to find the base of the logarithmic function.
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For what base $b$ does $f(x) = \log_b x$ pass through the point $(5, 1)$? But that might be misleading--what is the other point your graph passes through? – Ivoirians Nov 06 '15 at 21:35
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That is the only point given – Charles Nov 06 '15 at 22:16
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Exponentiating both sides gives: $$ \log_b 5 = 1 \Rightarrow \\ b^{\log_b 5} = b^1 \Rightarrow \\ 5 = b $$
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