Mathematics

Mathematics

Problem

The graph of the function y=5xy = 5^{x} is reflected in the line y=xy = x. Which option gives both the equation of the reflected curve and the equation of its vertical asymptote? a) y=5x,  asymptote x=0y = 5^{x},\; \text{asymptote } x = 0 b) y=log⁡5x,  asymptote y=0y = \log_{5} x,\; \text{asymptote } y = 0 c) y=log⁡5x,  asymptote x=0y = \log_{5} x,\; \text{asymptote } x = 0 d) y=log⁡10x,  asymptote x=0y = \log_{10} x,\; \text{asymptote } x = 0

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