Final answer to the problem
$x=13$
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Step-by-step Solution
Learn how to solve exponential equations problems step by step online. Solve the exponential equation 14^(x+7)=196^(x-3). Rewrite the power 196^{\left(x-3\right)} with base 14. Simplify \left(14^{2}\right)^{\left(x-3\right)} 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-3. If the bases are the same, then the exponents must be equal to each other. Solve the product 2\left(x-3\right).
Final answer to the problem
$x=13$
