The number of solutions of log 10 x-x isA- 1B- 3C- 2D- 0

The correct option is A 1Let f(x)=log_10x and g(x)= x nbsp; Now, draw the graph of f(x) and g(x), we get From above figure, it is clear they intersect at o ...

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Standard XII

Mathematics

Graph of Log Function When Base a 0<a<1

The number of...

Question

The number of solution(s) of ${log}_{10} x = - x$ is

1

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Solution

The correct option is A $1$
Let $f (x) = {log}_{10} x$ and $g (x) = - x$
Now, draw the graph of $f (x)$ and $g (x)$ , we get

From above figure, it is clear they intersect at only one point, therefore the number of solution is $1.$

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The number of solution(s) of log10x=−x is

The correct option is A 1Let f(x)=log10x and g(x)=−x Now, draw the graph of f(x) and g(x), we get From above figure, it is clear they intersect at only one point, therefore the number of solution is 1.

The number of solution(s) of ${log}_{10} x = - x$ is

The correct option is A $1$
Let $f (x) = {log}_{10} x$ and $g (x) = - x$
Now, draw the graph of $f (x)$ and $g (x)$ , we get

From above figure, it is clear they intersect at only one point, therefore the number of solution is $1.$