What is the solution of logx 729=3?

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

x = 9

Step-by-step explanation:

is the same as

Now we just do this with our equation.

This is the same as:

x³ = 729

To solve, find the cube root of 729.

x = ∛729

This equals 9.

x=9