Question

Lg(0,5x)=-2 решите уравнение

Answer 1

$lg(0,5x)=-2\\\\x>0\\\\0,5x=10^{-2}\\\\0,5x=0,01\\\\x=0,01:0,5\\\\x=0,02$

Answer 2

lg(0,5x)=-2

0.5x=10^-2

0.5x=1/10^2

0.5x=1/100

x=1/50

x=0.02

Answer 3

To solve the equation $\log(0.5x) = -2$, we need to isolate $x$ on one side of the equation. Here's the step-by-step solution:

Step 1: Rewrite the equation in exponential form using the definition of logarithms: $0.5x = 10^{-2}$

Step 2: Simplify the right side: $0.5x = 0.01$

Step 3: To isolate $x$, divide both sides of the equation by 0.5: $x = \frac{0.01}{0.5}$

Step 4: Calculate the value of $x$: $x = 0.02$

So the solution to the equation is $x = 0.02$.