Question

solve the following equation for x:​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x = 10.

Step-by-step explanation:

Given :

$\large log_x0.001=-3$

We have to find value of x.

We know that any exponential function written

$\large \text{ a^b=c as log_ac=b }$

$\large \text{So log_x0.001=-3 \ \implies x^{-3}=0.001 }$

Now convert decimal into fraction we get

$\large x^{-3}=0.001\\\\\\\large x^{-3}= \dfrac{1}{1000} \\\\\\\large \text{Rewrite 1000 as 10^3 }\\\\\\\large \text{We know that \dfrac{1}{m^n} can be written as m^{-n} }\\\\\\\large \text{ \implies x^{-3}= {10^{-3}} }\\\\\\\large \text{ Power is same so comparing both side we get }\\\\\\\large x=10$

Thus we get answer.