Question

logx=1 than what is tha value of x

Answer 1

If $logx=1$, then the value of x is equal to 10.

Step-by-step Explanation

Given:

• $logx=1$

To find:

To find the value of x.

Solution:

We know that $logx$ is a common logarithm and can also be represented as a logarithm with the base ten.

$\implies logx=log_{10} x$  -----(1)

The common logarithms or common logarithmic functions are usually represented in three forms, that is, $log x, log_{10}x$, or $Logx$

Here, it is given that,

$logx=1$   -----(2)

From (1) and (2), we get

$log_{10} x=1$   ----(3)

We know the logarithmic property: If $log_{a}x=y$, then $x=a^{y}$, where $x > 0,b > 0,$ and $b\neq 1$

Now, using the above given logarithmic property, we get (3) as

$x=10^{1} \\\implies x=10$

Therefore, the value of x is equal to 10.

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Answer 2

Concept:

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.

The exponent by which b must be raised to generate a" is defined as "the logarithm of a positive real number a with regard to base b, a positive real number not equal to 1

that is, bᵃ= y↔ logba=y

Where,

The two positive real numbers "a" and "b"

A real number is y.

Inside the log, "a" stands for argument, and "b" for the base.

Given:

Logx =1

Find:

What is tha value of x

Solution;

Logx =1

or

log₁₀x = 1

We know that, log ₐ b = x

                       ⇒       b = aˣ

Given, b>0 and a>0 and a≠ 0

So,

log₁₀x = 1

10¹ =x

Therefore, x =10

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