Question

5^2n×5³=5⁹ then n =?​

Answer 1

Answer:

In the easiest way to solve your math problem, if you want this expression 2^n x 5^n ends in 5, just let it be equal to 5:

Now, we just need to solve the equation 2^n x 5^n = 5

<==> (2 x 5)^n = 5 //exponentiation formula: a^n x b^n = (a x b)^n//

<==> 10^n = 5

<==> n = log5 //using logarithm formula n = log(b) <==> 10^n = b //

==> n =