Question

Solve the equation without using a calculator. 7x=3437^{x}=343

Solution

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Answered 1 year ago
Answered 1 year ago
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To solve the given equation, we will use elementary exponential rules and the fact that the exponential function is one-to-one. The function f(x)=cxf(x)=c^x will be one-to-one, if the following implication stands:

ca=cba=b.c^a=c^b\quad\Rightarrow\quad a=b.

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