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Solve the following logarithm problem for the positive solution for
x.

log_(16)x=(1)/(2)
Answer:

Solve the following logarithm problem for the positive solution for $x$ . $\newline$ $\log _{16} x=\frac{1}{2}$ $\newline$ Answer:

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Quotient property of logarithms

Full solution

Q. Solve the following logarithm problem for the positive solution for

x

.

\newline

\log _{16} x=\frac{1}{2}

\newline

Answer:

Understand the logarithm equation: Understand the logarithm equation. $\newline$ We have the equation $\log_{16}x = \frac{1}{2}$ . This means that $16$ raised to the power of $\frac{1}{2}$ equals $x$ .
Convert to exponential form: Convert the logarithmic equation to an exponential form. $\newline$ Using the definition of a logarithm, we can rewrite the equation as $16^{\frac{1}{2}} = x$ .
Calculate value of $16^{1/2}$ : Calculate the value of $16^{1/2}$ . Since $16^{1/2}$ is the square root of $16$ , we find that $x = \sqrt{16}$ .
Find positive solution for x: Find the positive solution for $x$ . The positive square root of $16$ is $4$ , so $x = 4$ .

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