Question

Log 5 base 10 is rational number or irrational number

Answer 1

Hello !!

For you answer this question, you only need make use of this method below. See the resolution.

$\mathsf{Log_{10}^{\:\:5}} \\\\\\ \mathsf{10^{x}=5} \\\\\\ \mathsf{Log10^{x}=Log5} \\\\\\ \mathsf{x\cdot~Log10=Log5} \\\\\\ \mathsf{x=\dfrac{Log5}{Log10}} \\\\\\ \mathsf{x=\dfrac{0.698...}{1}} \\\\\\ \boxed{\mathsf{x=0.698...}}$

Final result : is a irrational number.

I hope I have collaborated !