Math  /  Algebra

QuestionGiven: y=log5xy=\log _{5} x a. Rewrite to exponential form. \square b. Which of the following graphs represents the equation

Studdy Solution
Apply this relationship to the given equation y=log5x y = \log_5 x .
log5x=y5y=x \log_5 x = y \Rightarrow 5^y = x
This is the exponential form of the given logarithmic equation.
Solution to part a:
5y=x 5^y = x
For part b, without the actual graphs to evaluate, we cannot determine which graph represents the equation. However, we know that the graph of y=log5x y = \log_5 x is the inverse of the exponential function y=5x y = 5^x . It will pass through the point (1,0) (1,0) and increase slowly for x>1 x > 1 .

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