Solve for a positive value of x. log_(5)(x)=4 Answer:

Understand the logarithmic equation: Understand the logarithmic equation. The equation log_(5)(x) = 4 means that 5 raised to what power equals x. We need to find this power.Convert to exponential equation: Convert the logarithmic equation to an exponential equation. Using the definition of a logarithm, we can rewrite the equation as 5^4 = x.Calculate 5^4: Calculate the value of 5^4. 5^4 means 5 multiplied by itself 4 times, which is 625.Write down the solution: Write down the solution. Therefore, x = 625 is the positive value that satisfies the equation log_(5)(x) = 4.

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Solve for a positive value of
x.

log_(5)(x)=4
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{5}(x)=4$ $\newline$ Answer:

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Precalculus

Product property of logarithms

Full solution

Q. Solve for a positive value of

x

\newline

\log _{5}(x)=4

\newline

Answer:

Understand the logarithmic equation: Understand the logarithmic equation. $\newline$ The equation $\log_{5}(x) = 4$ means that $5$ raised to what power equals $x$ . We need to find this power.
Convert to exponential equation: Convert the logarithmic equation to an exponential equation. $\newline$ Using the definition of a logarithm, we can rewrite the equation as $5^4 = x$ .
Calculate $5^4$ : Calculate the value of $5^4$ . $\newline$ $5^4$ means $5$ multiplied by itself $4$ times, which is $625$ .
Write down the solution: Write down the solution. $\newline$ Therefore, $x = 625$ is the positive value that satisfies the equation $\log_{5}(x) = 4$ .