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Solve for a positive value of
x.

log_(2)(64)=x
Answer:

Solve for a positive value of $x$ . $\newline$ $\log _{2}(64)=x$ $\newline$ Answer:

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Product property of logarithms

Full solution

Q. Solve for a positive value of

x

.

\newline

\log _{2}(64)=x

\newline

Answer:

Recognize Base and Value: Recognize the base of the logarithm and the value inside the logarithm. $\newline$ We have $\log_2(64) = x$ , where the base of the logarithm is $2$ and the value inside the logarithm is $64$ .
Convert to Exponential: Convert the logarithmic equation into an exponential equation. $\newline$ The logarithmic equation $\log_2(64) = x$ means $2$ raised to the power $x$ equals $64$ . $\newline$ So, we write it as $2^x = 64$ .
Find Power of $2$ : Find a power of $2$ that equals $64$ . We know that $2^6 = 64$ because $2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$ .
Set Exponent Equal: Set the exponent equal to $x$ . Since $2^x = 64$ and $2^6 = 64$ , we can conclude that $x = 6$ .

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