Solve for a positive value of x. log_(x)(16)=2 Answer:

Understand the logarithmic equation: Understand the logarithmic equation. The equation log_(x)(16) = 2 means that x raised to the power of 2 equals 16.Convert to exponential equation: Convert the logarithmic equation to an exponential equation. x^2 = 16Solve for x: Solve for x by taking the square root of both sides. √(x^2) = √(16)Simplify the equation: Simplify the equation. x = ±4Choose positive solution: Since we are looking for the positive value of x, we choose the positive solution. x = 4

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Solve for a positive value of
x.

log_(x)(16)=2
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{x}(16)=2$ $\newline$ Answer:

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Calculus

Find derivatives of logarithmic functions

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Q. Solve for a positive value of

x

\newline

\log _{x}(16)=2

\newline

Answer:

Understand the logarithmic equation: Understand the logarithmic equation. $\newline$ The equation $\log_{x}(16) = 2$ means that $x$ raised to the power of $2$ equals $16$ .
Convert to exponential equation: Convert the logarithmic equation to an exponential equation. $\newline$ $x^2 = 16$
Solve for x: Solve for x by taking the square root of both sides. $\newline$ $\sqrt{x^2} = \sqrt{16}$
Simplify the equation: Simplify the equation. $x = \pm 4$
Choose positive solution: Since we are looking for the positive value of $x$ , we choose the positive solution. $x = 4$