Solve for a positive value of x. log_(9)(x)=3 Answer:

Identify Property: Identify the property of logarithms to solve for x. The equation log_(9)(x) = 3 can be rewritten using the definition of logarithms, which states that if log_(b)(a) = c, then b^c = a.Rewrite Equation: Rewrite the logarithmic equation in exponential form. Using the property from Step 1, we can express log_(9)(x) = 3 as 9^3 = x.Calculate Value: Calculate the value of 9^3. 9^3 = 9 * 9 * 9 = 81 * 9 = 729.Conclude Solution: Conclude the value of x. Since 9^3 = 729, we have x = 729, which is the positive value we were solving for.

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Solve for a positive value of
x.

log_(9)(x)=3
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{9}(x)=3$ $\newline$ Answer:

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Precalculus

Product property of logarithms

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Q. Solve for a positive value of

x

\newline

\log _{9}(x)=3

\newline

Answer:

Identify Property: Identify the property of logarithms to solve for $x$ . The equation $\log_{9}(x) = 3$ can be rewritten using the definition of logarithms, which states that if $\log_{b}(a) = c$ , then $b^{c} = a$ .
Rewrite Equation: Rewrite the logarithmic equation in exponential form. $\newline$ Using the property from Step $1$ , we can express $\log_{9}(x) = 3$ as $9^{3} = x$ .
Calculate Value: Calculate the value of $9^3$ . $\newline$ $9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729$ .
Conclude Solution: Conclude the value of $x$ . $\newline$ Since $9^3 = 729$ , we have $x = 729$ , which is the positive value we were solving for.