Solve for a positive value of x. log_(x)(36)=2 Answer:

Convert to Exponential Equation: We are given the logarithmic equation log_(x)(36) = 2. To solve for x, we can convert this logarithmic equation into an exponential equation using the definition of a logarithm. The definition of a logarithm states that if log_(a)(b) = c, then a^c = b. Using this definition, we can rewrite our equation as x^2 = 36.Solve for x: Now we need to solve the exponential equation x^2 = 36 for the positive value of x. To do this, we take the square root of both sides of the equation. The square root of x^2 is x, and the square root of 36 is 6. Since we are looking for the positive value of x, we take the positive square root. So, x = 6.

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Solve for a positive value of
x.

log_(x)(36)=2
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{x}(36)=2$ $\newline$ Answer:

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Precalculus

Quotient property of logarithms

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Q. Solve for a positive value of

x

\newline

\log _{x}(36)=2

\newline

Answer:

Convert to Exponential Equation: We are given the logarithmic equation $\log_{x}(36) = 2$ . To solve for $x$ , we can convert this logarithmic equation into an exponential equation using the definition of a logarithm. $\newline$ The definition of a logarithm states that if $\log_{a}(b) = c$ , then $a^{c} = b$ . $\newline$ Using this definition, we can rewrite our equation as $x^{2} = 36$ .
Solve for x: Now we need to solve the exponential equation $x^2 = 36$ for the positive value of $x$ . To do this, we take the square root of both sides of the equation. The square root of $x^2$ is $x$ , and the square root of $36$ is $6$ . Since we are looking for the positive value of $x$ , we take the positive square root. So, $x = 6$ .