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If x8y=333x^8y = 333 and x?yexto=3x? y^{ ext{o}} = 3, what is the value of ZuZu

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Composition of linear functions: find a valueright chevron icon

Full solution

Q. If x8y=333x^8y = 333 and x?yexto=3x? y^{ ext{o}} = 3, what is the value of ZuZu
  1. Solving First Equation: We got two equations here, x8y=333x8y = 333 and x?yexto=3x? y^{ ext{o}} = 3. Let's solve the first one.\newlinex∗8∗y=333x * 8 * y = 333\newlineDivide both sides by 88 to isolate xyxy.\newlinexy = rac{333}{8}\newlinexy=41.625xy = 41.625
  2. Solving Second Equation: Now let's tackle the second equation, x?y0=3x? y^0 = 3.\newlinex?y0x? y^0 means xx times yy to the power of 00, which is always 11.\newlineSo, x×1=3x \times 1 = 3\newlinex=3x = 3
  3. Finding y: We know that xy=41.625xy = 41.625 and x=3x = 3. Let's find yy.\newline3×y=41.6253 \times y = 41.625\newlineDivide both sides by 33 to get yy.\newliney=41.6253y = \frac{41.625}{3}\newliney=13.875y = 13.875
  4. Unable to Find ZuZ_u: Now we need to find ZuZ_u, but we don't have an equation for ZuZ_u. There's a mistake here, we can't find ZuZ_u without an equation for it.

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