Question

1- Encontre o valor de x, onde: log100 10 = x

log 10
base 100
= X​

Answer 1

Determinar valor de x no logaritimo

$\sf \log_{100}~10 = x$

Converta na forma exponencial sendo $\sf \log_{a}~b = c~\Rightarrow~a^c = b$

$\sf 100^x = 10$

$\sf (10^2)^x = 10$

$\sf 10^{2*x} = 10$

$\sf 10^{2x} = 10^1$

$\sf \cancel{10}^{2x} = \cancel{10}^1$

$\sf 2x = 1$

$\red{\sf x = \dfrac{1}{2}}$