Question

is log10 5 rational or irrational justify your answer​

Answer 1

$\log_{10}5$ is an irrational number.

Step-by-step explanation:

To find : Is $\log_{10}5$ rational or irrational justify ?

Solution :

Rational number is defined as number written in p/q form where, p and q are integers and q is non-zero.

Irrational numbers are those which are not rational number.

Let the expression is  $x=\log_{10}5$

Apply logarithmic property,

$\log_ax=y\Rightarrow a^y=x$

$x=\log_{10}5\Rightarrow 10^x=5$

We know that, $10^x$ cannot be written as 5.

i.e. it is not a ration number.

So, $\log_{10}5$ is an irrational number.

#Learn more

Log10^8+2log10^2-log10^32+log10^5

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Answer 2

Hope you understand.....