Question

Lgx=2-lg5

Answer 1

lgx=2-lg5

 

lgx=lg100-lg5

 

lgx=lg100\5

 

lgx=lg20

 

х=20

Answer 2

To solve the equation Lgx = 2 - lg5, we need to isolate the variable "x."

Let's start by rewriting the equation using the properties of logarithms:

lg(x) = 2 - lg(5)

Now, let's simplify the equation further. We know that lg(a) - lg(b) = lg(a/b), so we can use that property:

lg(x) = lg(5/10)

We also know that lg(10) = 1, so we can substitute that value:

lg(x) = lg(5/10) = lg(0.5)

Now, we can convert the logarithmic equation into exponential form:

x = 10^(lg(0.5))

Using the property that 10^(lg(a)) = a, we can simplify further:

x = 0.5

Therefore, the solution to the equation Lgx = 2 - lg5 is x = 0.5.