Question

log base 3 power x =2 then x=?

Answer 1

Hey
$log_{3}(x) = 2 \\ x = {3}^{2} \\ x = 9$
Hope it helps
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Answer 2

Answer:

x = 9.

Step-by-step explanation:

Given:- $log_{3} x =2$

To Find:- Value of x.

Solution:-

Logarithm of a number with a base is equal(=) to another number. Logarithm is the opposite function of exponentiation.

For example:- if 10^2 = 100 then $log_{10}$ 100 = 2.

∴ $b^{x} = a$ ⇔ $log_{b} a = x$  , where

a and b are two positive real numbers, x is a real number.

a, which is present inside the log is called the "argument".

b, which is present at the bottom of the log is called the "base".

$log_{e}$, log written with base e is called the natural log.

$log_{10}$, log written with base 10 is called the common log.

From the information provided above, we can write that

$log_{3} x =2$ ⇔ $3^{2} = x$

∴ x = 3 × 3

     = 9.

Therefore, value of x is 9.

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