Question

log x base 10000 =-1/4 find the x​

Answer 1

Step-by-step explanation:

log x base 10000 is -1/4

then 10000 power -1/4=x

4×-1/4 -1

10 = 10 = 1/10

Answer 2

Given : The given equation, log x base 10000 = -1/4

To find : The value of x

Solution :

The value of x is 0.1

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of x)

The equation in proper mathematical term,

$log_{10000}(x) = - \frac{1}{4}$

By converting into exponential form, we get :

${(10000)}^{ - \frac{1}{4} } = x$

$x = \frac{1}{ {(10000)}^{ \frac{1}{4} } }$

$x = \frac{1}{\sqrt[4]{10000}}$

$x = \frac{1}{10}$

$x = 0.1$

(This will be considered as the final result.)

Hence, the value of x is 0.1