Answer:
![x^3-8](https://tex.z-dn.net/?f=x%5E3-8)
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
![- 8 + e^{lnx^3}](https://tex.z-dn.net/?f=-%208%20%2B%20e%5E%7Blnx%5E3%7D)
Inverse property of log says that
![e^{ln(x)=x](https://tex.z-dn.net/?f=e%5E%7Bln%28x%29%3Dx)
we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled
![e^{ln(x^3)=x^3](https://tex.z-dn.net/?f=e%5E%7Bln%28x%5E3%29%3Dx%5E3)
![- 8 + e^{lnx^3}](https://tex.z-dn.net/?f=-%208%20%2B%20e%5E%7Blnx%5E3%7D)
![- 8 +x^3](https://tex.z-dn.net/?f=-%208%20%2Bx%5E3)
![x^3-8](https://tex.z-dn.net/?f=x%5E3-8)
6:15 is in ratio form..... If you mean fraction form, a ratio is equivalent to a fraction, so the answer is 6/15
8z +3 - 2z < 51
6z + 3 < 51
-3. -3
6z < 48
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6. 6
z<8