Math, asked by yojanaguraka0385, 9 months ago

It
loga3=2, why a is irrational?
Give reason​

Answers

Answered by sainp8826
0

Answer:

Age of father to the age of son when father was 30 years old.

Answered by jitumahi435
0

a is irrational, it can not be written as \dfrac{p}{q} form, where q ≠ 0.

Step-by-step explanation:

We have,

\log_a3 = 2

Give region, why 'a' is irrational ?

\log_a3 = 2

Using the properties of logarithm,  

a^2 = 3

⇒ a = 3^{\dfrac{1}{2}}

⇒ a = \sqrt{3}

⇒ a = 1.73220508......,

It can not be written as \dfrac{p}{q} form, where q ≠ 0.

∴ a is irrational.

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