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We can take out the unknown from the exponent by applying logarithms in base $10$ to both sides of the equation
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$\log_{2}\left(2^{3x}\right)=\log_{2}\left(\frac{1}{64}\right)$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^(3x)=1/64. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Use the following rule for logarithms: \log_b(b^k)=k. Divide both sides of the equation by 3.