Solve for x 7^x=343

Problem

7^x=343

Solution

1. Identify the base of the exponential expression on the left side, which is 7

2. Rewrite the number on the right side as a power of 7 by testing integer exponents.

3. Calculate 7^2=49 and 7^3=343

4. Substitute 343 with 7^3 in the original equation.

7^x=7^3

5. Apply the property of equality for exponential functions, which states that if b^x=b^y and b>0,b≠1 then x=y

x=3

Final Answer

x=3

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