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# If ${\log _{10}}\left( {x - 10} \right) = 1$, then the value of x is equal to:${\text{A}}{\text{. 20}} \\ {\text{B}}{\text{. 30}} \\ {\text{C}}{\text{. 40}} \\ {\text{D}}{\text{. 50}} \\$

Last updated date: 09th Apr 2024
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Hint- In this question we have to find the value of x so using the property of logarithm we know that ${\log _b}a = 1 \Rightarrow {b^1} = a$. This property will help you simplify things up and will eventually help you reach the right answer.

We have been given the expression ${\log _{10}}\left( {x - 10} \right) = 1$ and we have to find the value of x.
Now we know the property of logarithm that ${\log _b}a = 1 \Rightarrow {b^1} = a$ ………………….. (1)
So using the property mentioned in equation (1) to the given expression of question we get
${10^1} = \left( {x - 10} \right)$
On solving
$10 = x - 10$
$\Rightarrow x = 20$
Hence the value of x = 20