[tex]\displaystyle \frac{6^{\text x }}{8}=\frac{75}{5}[/tex]
[tex]\displaystyle \frac{6^{\text x }}{8}=15[/tex]
[tex]\displaystyle 6^{\text x }=15.8[/tex]
[tex]\displaystyle 6^{\text x }=120[/tex]
Aplicando Log na base 6 dos dois lados :
[tex]\displaystyle \text{Log}_{\ 6}\ 6^{\text x} = \text{Log}_{\ 6}\ 120[/tex]
[tex]\text x.\text{Log}_{\ 6} \ 6 = \text{Log}_{\ 6} \ 120[/tex]
[tex]\text x.1 = \text{Log}_{\ 6} \ 120[/tex]
[tex]\huge\boxed{\text x = \text{Log}_{\ 6} \ 120}\checkmark[/tex]
