What is the solution of log, 729 = 3?

Of

18

81

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