Solve for a positive value of x. log_(2)(x)=9 Answer:

Identify Property of Logarithms: Identify the property of logarithms to solve for x. The equation log base 2 of x equals 9 can be rewritten using the definition of a logarithm, which states that if log base b of a equals c, then b raised to the power of c equals a.Convert to Exponential Form: Convert the logarithmic equation to its exponential form. Using the property from Step 1, we can write 2 raised to the power of 9 equals x.Calculate Exponential Value: Calculate the value of 2 raised to the power of 9. 2^9 = 512Verify Positive Solution: Verify that the solution is a positive value. 512 is a positive number, so it satisfies the condition for x to be positive.

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Solve for a positive value of
x.

log_(2)(x)=9
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{2}(x)=9$ $\newline$ Answer:

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Precalculus

Product property of logarithms

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Q. Solve for a positive value of

x

\newline

\log _{2}(x)=9

\newline

Answer:

Identify Property of Logarithms: Identify the property of logarithms to solve for $x$ . The equation $\log_{2}x = 9$ can be rewritten using the definition of a logarithm, which states that if $\log_{b}a = c$ , then $b^{c} = a$ .
Convert to Exponential Form: Convert the logarithmic equation to its exponential form. $\newline$ Using the property from Step $1$ , we can write $2$ raised to the power of $9$ equals $x$ .
Calculate Exponential Value: Calculate the value of $2$ raised to the power of $9$ . $2^9 = 512$
Verify Positive Solution: Verify that the solution is a positive value. $512$ is a positive number, so it satisfies the condition for $x$ to be positive.