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16 April, 20:12

What is the solution of log, 729 = 3?

Of

18

81

+4
Answers (1)
  1. 16 April, 22:49
    0
    Solution

    Step-by-step explanation:

    Rewrite logx729 = 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb (x) = y is equivalent to b^y = x.

    X^3 = 729

    Take cube root on both side and we get

    x = 3√729

    now we firstly simplify the 3√729

    Rewrite 729 as 9^3

    x = 3√9^3

    pull terms out from under the redical, assuming positive real numbers

    x=9

    verify each of the solution by substituting them into logx729=3 and solving.

    x = 9
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