Respuesta :
Answer:
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
Answer:
x = 9
Step-by-step explanation:
[tex]log_{a} b=c[/tex] is the same as [tex]a^{c} =b[/tex]
Now we just do this with our equation.
[tex]log_{x} 729=3[/tex]
This is the same as:
x³ = 729
To solve, find the cube root of 729.
x = ∛729
This equals 9.
x=9