Question

What is the solution of logx 729=3?

Answer 1

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 2

For this case we have to define properties of logarithm that:

$log_ {b} (a) = c$

It is equivalent to:

$b^c = a$

So, given the following expression we have:

$log_ {x} (729) = 3$

We can rewrite it as:

$x ^ 3 = 729$

Applying cubic root to both sides of the equation we have:

$x = \sqrt [3] {729}\\x = 9$

ANswer:

$x = 9$