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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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$e^{-1}e^x=2$
Learn how to solve differential calculus problems step by step online. Solve the exponential equation e^(x-1)=2. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by e^x. Multiply both sides of the equation by e.