Mathematics
selenagrier
14

What is the value of x after these statements if the starting value of x is 3. (a) If x^2 = 5^x then x := 25^x. (b) If x^2 > x and x^3 < 4x^2 then x := x+ 2. (c) If 4^x < x^4 or x^5 > 5^x then x := x^2. (d) If 5^x > 2^x xor x^2 < 11 then x := x + 8. (e) If x > 7 then x := x^2.

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(1) Answers
Kierrah

[A] [latex]3^{2}=9[/latex] [latex]5^{3}=125[/latex] [latex]9\neq25[/latex] Ignore [B] [latex] 3^{2} = 9 [/latex] [latex]9 \ \textgreater \ 3[/latex] Yes [latex] 3^{3}=27[/latex] [latex]4( 3^{2})=36 27 \ \textless \ 36[/latex] Yes Therefore [latex]x=3+2=5[/latex] [C] [latex] 4^{5}=1024 5^{4}=625 1024\ \textless \ 625[/latex] No [latex] 5^{5}=3125 5^{5}=3125 3125\ \textgreater \ 3125 [/latex] No Ignore [D] [latex]5^{5}=3125 2^{5}=32 3125\ \textgreater \ 32 [/latex] Yes [latex] 5^{2}=25 25\ \textless \ 11 [/latex] No Therefore [latex]x=5+8=13[/latex] [E] [latex]8\ \textgreater \ 7[/latex] Yes Therefore [latex]x = 13^{2}=169[/latex]

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