x ≈ 5,62
Step-by-step explanation:
3 log (x) + log (x⁴) - log (∛x) = 5
log (x³) + log (x⁴) - log (∛x) = 5
log (x³ · x⁴ ÷ [tex]\rm x^{\frac{1}{3}}[/tex]) = 5
log [tex]\left(\rm x^{3+4-\frac{1}{3}}\right)[/tex] = 5
log [tex]\left(\rm x^{7-\frac{1}{3}}\right)[/tex] = 5
log [tex]\left(\rm x^{\frac{21-1}{3}}\right)[/tex] = 5
20/3 · log x = 5
log x = 5 · 3 ÷ 20
log x = 15 ÷ 20
log x = 3/4
x = [tex]10^\frac{3}{4}[/tex]
x ≈ 5,62
