Final Answer
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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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$4\cdot 2^x4^x=16$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 2^x4^(x+1)=16. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Decompose 4 in it's prime factors. Simplify \left(2^{2}\right)^x using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals x. Divide both sides of the equation by 4.