Solve for a positive value of x. log_(2)(x)=7 Answer:

Identify Property of Logarithms: Identify the property of logarithms to solve for x. The equation log base 2 of x equals 7 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 the equation as 2^7 = x.Calculate Exponential Value: Calculate the value of 2 raised to the power of 7. 2^7 = 128Verify Positive Solution: Verify that the solution is a positive value. Since 128 is a positive number, we have found the positive value of x that satisfies the equation.

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Solve for a positive value of
x.

log_(2)(x)=7
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{2}(x)=7$ $\newline$ 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)=7

\newline

Answer:

Identify Property of Logarithms: Identify the property of logarithms to solve for $x$ . The equation $\log_{2}x = 7$ 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 the equation as $2^7 = x$ .
Calculate Exponential Value: Calculate the value of $2$ raised to the power of $7$ . $\newline$ $2^7 = 128$
Verify Positive Solution: Verify that the solution is a positive value. $\newline$ Since $128$ is a positive number, we have found the positive value of $x$ that satisfies the equation.