Answer:
17) x = 8
18) x = 24
Step-by-step explanation:
17)
[tex]10 = {x}^{ \frac{4}{3} } - 6[/tex]
[tex] {x}^{ \frac{4}{3} } = 16[/tex]
[tex] {x}^{ \frac{4}{3} } = {2}^{4} [/tex]
Multiply the powers by 3/4.
[tex]x = {2}^{4 \times \frac{3}{4} } = {2}^{3} = 8[/tex]
[tex]x = 8[/tex]
18)
[tex] - 648 = - 3 {(2x - 12})^{ \frac{3}{2} } [/tex]
Divide both sides by -3
[tex] {(2x - 12)}^{ \frac{3}{2} } = 216 = {6}^{3} [/tex]
Multiply both powers by 2/3
[tex]2x - 12 = {6}^{3 \times \frac{2}{3} } = {6}^{2} [/tex]
[tex]2x - 12 = 36[/tex]
[tex]2x = 36 + 12 = 48[/tex]
[tex] x = 24[/tex]
