Question

what is the true solution to ln 20+ln 5= 2 ln x

Answer 1

Answer:

The true solution to the  $\ln 20 + \ln 5 = 2 \ln x$ is, 10

Step-by-step explanation:

Given the equation: $\ln 20 + \ln 5 = 2 \ln x$

Using logarithmic rules:

• $\ln(mn) = \ln m+ \ln n$

• $\ln a^b = b \ln a$

• $ln a = \ln b$ ⇒$a = b$

Now, using these properties solve for x;

$\ln (20 \cdot 5) = 2\ln x$

$\ln (100) = \ln x^2$

$\ln 10^2 = \ln x^2$

On comparing both sides we have;

$x^2 = 10^2$

or

$x = \sqrt{10^2}$

x = 10

Therefore, the true solution to the given equation is, x= 10

Answer 2

The evolution of the equation is ln20 + ln5 = lnx.

The value of x is 100.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equation is ln20 + ln5 = lnx.

To find

The value of x.

How to find the value of x?

The equation is ln20 + ln5 = lnx.

We know,

ln A + ln B = ln AB

Then

ln 20×5 = ln x

   20×5 = x

          x = 100

Thus the value of x is 100.

More about the linear system link is given below.

https://brainly.com/question/20379472