Question

if 2 log x = 4 log 3 ,the x is equal to​

Answer 1

hey mate

given here

==>2log x= 4 log 3.

==>log x^2= log 3^4

==>x^2=3^4

==>.x=√(3^4)

==>x=√(3×3×3×3)

==>x=3×3

==>x=9.

i hopes its help's u.

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@abhi.

Answer 2

Answer:

The value of $x$ is 9.

Step-by-step explanation:

The logarithm is the inverse function to exponent and is defined as the power to which a number must be raised in order to get some other number.

Recall the properties of logarithm function,

(i) a log b = log $b^a$

(ii) log($ab$) = log a + log b

(iii) log ($\frac{a}{b}$) = log a - log b

(iv) $e^{loga}=a$

Step 1 of 2

Consider the given logarithm function as follows:

2 log $x$ = 4 log 3

Evaluate the left-hand side as follows:

Using the property (i), we have

⇒ log $x^2$

Now, evaluate the right-hand side as follows:

Using the property (i), we have

⇒ log $3^4$

⇒ log 81

Step 2 of 2

Put left-hand side equals to right-hand side, we get

⇒ log $x^2$ = log 81

Taking anti-log both the sides as follows:

⇒ $e^{log\ x^2}=e^{log\ 81}$

⇒ $x^2=81$ (Using property (iv))

⇒ $x^2=9^2$

⇒ $x=9$

Therefore, the value of $x$ is 9.

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