Question

Um número na base 10 escreve-se 37; em que base escrever-se-á 52.​

Answer 1

Resposta:

Explicação passo-a-passo:

$(37)_{10}=3.10^{1}+7.10^{0}\\\\\\(52)_{x}=5.x^{1}+2.x^{0}\\\\\\\\5.x^{1}+2.x^{0}=37\\\\5x+2=37\\\\5x=37-2\\\\5x=35\\\\x=\dfrac{35}{5}\\\\\\x=7\\\\\\(52)_{7}=5.7^{1}+2.7^{0}$