If the number of natural divisors of 18 * {7}^(x) is 30, find x. Thanks for answering and please explain your answer i need this​

Question

If the number of natural divisors of


`18 * {7}^(x)`
is 30, find x.
Thanks for answering
and please explain your answer
i need this​

Answer 1

x=4

Explanation:

18 x 7ˣ = 2¹ x 3² x 7ˣ

number of divisor = (1+1) (2+1) (x+1) = 6(x+1) = 30

x+1 = 5

x = 4

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