Question

find n 7^2n+1÷49=7^3

Answer 1

the value of n is equal to 2

Answer 2

Answer:

The value of n = 2

Step-by-step explanation:

Bases and Exponents:

• Base number is defined as a number which is multiplied by itself, whereas the exponent represents the number of times the base number is multiplied.

• In short, Power is a number expressed using the exponents. It implies the repeated multiplication of the same factor.

         Given equation is

            ((7)^2n+1)/49 = (7)^3

         convert the total equation in terms of powers of 7 .

             ((7)^2n+1)/(7)^2 = (7)^3

           By law of exponents formula                

                   $\frac{a^{m} }{a^{n} } = a^{m-n}$

          apply the above formula to the L.H.S of above equation

                (7)^2n+1-2 = (7)^3

        If bases are equal then exponents are equal

                     2n+1-2 = 3

                         2n-1 = 3

                            2n = 3+1

                            2n = 4

                              n = 4/2

                              n = 2

            Hence, the value of n = 2

        Know more about  Solving Algebraic equations:

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