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Jika p 2 + 4 lo g 2 = 2 lo g 5 . 3 lo g 8 3 lo g 5 , dengan p > 0 , maka p + p 2 lo g 16 = ...

Jika $^{p^{2} + 4} lo g 2 = \frac{^{3} lo g 5}{^{2} lo g 5 . ^{3} lo g 8}, dengan p > 0, maka p +^{p^{2}} lo g 16 = ...$

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$begin mathsize 14px style space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space squared log 5. cubed log 8 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space cubed log 8. squared log 5 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space cubed log 2 cubed. squared log 5 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space 3. cubed log up diagonal strike 2. squared end strike log 5 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space 3. cubed log 5 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals fraction numerator space cubed log 5 over denominator space 3. cubed log 5 end fraction space to the power of straight p squared plus 4 end exponent log 2 equals 1 third open parentheses straight p squared plus 4 close parentheses to the power of 1 third end exponent equals 2 straight p squared plus 4 equals 2 cubed left right double arrow straight p squared plus 4 equals 8 left right double arrow straight p squared equals 4 left right double arrow straight p equals plus-or-minus 2 Karena space straight p space greater than space 0 comma space maka space nilai space straight p space yang space memenuhi space adalah space straight p space equals space 2 space. straight p plus to the power of straight p to the power of 2 space end exponent end exponent log 16 equals 2 plus to the power of 2 squared end exponent log 16 space space space space space space space space space space space space space space space space space equals 2 plus to the power of 4 log 16 equals 2 plus 2 equals 4 end style$