Solve for x 7^x=343

Problem

7=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=49 and 7=343

4. Substitute 343 with 7 in the original equation.

7=7

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

x=3

Final Answer

x=3

Want more problems? Check here!