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Any expression multiplied by $1$ is equal to itself
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$3^{\frac{x}{2}}=768$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^((x1)/2)=768. Any expression multiplied by 1 is equal to itself. 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. Multiply both sides of the equation by 2.