Question

What is the true solution In 20+In 5=2 In x?

Answer 1

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• log$x^{n}$ ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = ln$x^{2}$

ln 100 = ln$x^{2}$, hence

x² = 100 ( take the square root of both sides )

x = 10