Question

determine o valor de x: (6^(x))/(8)=(75)/(5)

Answer 1

$\displaystyle \frac{6^{\text x }}{8}=\frac{75}{5}$

$\displaystyle \frac{6^{\text x }}{8}=15$

$\displaystyle 6^{\text x }=15.8$

$\displaystyle 6^{\text x }=120$

Aplicando Log na base 6 dos dois lados  :

$\displaystyle \text{Log}_{\ 6}\ 6^{\text x} = \text{Log}_{\ 6}\ 120$

$\text x.\text{Log}_{\ 6} \ 6 = \text{Log}_{\ 6} \ 120$

$\text x.1 = \text{Log}_{\ 6} \ 120$

$\huge\boxed{\text x = \text{Log}_{\ 6} \ 120}\checkmark$