What is the inverse of the function y=log_(3)x ? (1) y=x^(3) (3) y=3^(x) (2) y=log_(x)3 (4) x=3^(1y)

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What is the inverse of the function  y=log_(3)x ? (1)  y=x^(3) (3)  y=3^(x) (2)  y=log_(x)3 (4)  x=3^(1y)

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Definition of Inverse Function: Understand the definition of an inverse function. The inverse function of y = log_(3)(x) is a function that will give back the original input x when applied to the output y. In other words, if we have y = log_(3)(x), then the inverse function applied to y should give us x.Express in Exponential Form: Express the original function in exponential form. To find the inverse, we can rewrite the logarithmic equation y = log_(3)(x) in its equivalent exponential form. This is done by using the definition of a logarithm: if y = log_(b)(x), then b^y = x. Applying this to our function, we get 3^y = x.Swap x and y: Swap x and y to find the inverse function. To find the inverse function, we switch the roles of x and y. This means we will now have x = 3^y.Solve for y: Solve for y to express the inverse function. Now we need to express y in terms of x. Since x = 3^y, we can take the logarithm base 3 of both sides to isolate y. This gives us y = log_(3)(x). Therefore, the inverse function is y = log_(3)(x).

What is the inverse of the function $\newline$ $y=\log_{3}x$ ? $\newline$ ( $1$ ) $y=x^{3}$ $\newline$ ( $3$ ) $y=3^{x}$ $\newline$ ( $2$ ) $y=\log_{x}3$ $\newline$ ( $4$ ) $x=3^{1y}$

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What is the inverse of the function \newliney=log⁡3xy=\log_{3}xy=log3​x?\newline(111) y=x3y=x^{3}y=x3\newline(333) y=3xy=3^{x}y=3x\newline(222) y=log⁡x3y=\log_{x}3y=logx​3\newline(444) x=31yx=3^{1y}x=31y

What is the inverse of the function $\newline$ $y=\log_{3}x$ ? $\newline$ ( $1$ ) $y=x^{3}$ $\newline$ ( $3$ ) $y=3^{x}$ $\newline$ ( $2$ ) $y=\log_{x}3$ $\newline$ ( $4$ ) $x=3^{1y}$