Problem

$2^{x}=8$

Answer

Expert–verified
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Answer

\(\boxed{x = 3}\)

Steps

Step 1 :Take the logarithm of both sides of the equation: \(\log_{2}(2^{x}) = \log_{2}(8)\)

Step 2 :Apply the logarithm property: \(x \cdot \log_{2}(2) = \log_{2}(8)\)

Step 3 :Simplify the equation: \(x = \log_{2}(8)\)

Step 4 :Calculate the value of x: \(x = 3\)

Step 5 :\(\boxed{x = 3}\)

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