find n 7^2n+1÷49=7^3
Answers
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
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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