Final Answer
Step-by-step Solution
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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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$3\cdot 3^x=45$
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^(x+1)=45. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Divide both sides of the equation by 3. Simplify the fraction \frac{45}{3}. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.