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Pertanyaan

Jika p log a = 2 dan q log 8p = 2, maka 2p log a p q 2 = ....

Jika ^plog a = 2 dan ^qlog 8p = 2, maka ^2plog $\frac{p q ^{2}}{a}$ = ....

3 ²log 2p
²log 2p
$begin mathsize 14px style fraction numerator 3 over denominator log presubscript space presuperscript 2 space 2 p end fraction end style$
$begin mathsize 14px style fraction numerator 1 over denominator log presubscript space presuperscript 2 space 2 p end fraction end style$
$begin mathsize 14px style fraction numerator 3 over denominator log presubscript space presuperscript 2 space p end fraction end style$

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R. RGFLLIMA

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Pembahasan

Ingat sifat logaritma : a log b = c maka b = a c p log a = 2 maka a = p 2 q log 8p = 2 maka 8p = q 2 2p log = 2p log = 2p log 8 = 2p log 2 3 = 3. 2p log 2 = 3. =

Ingat sifat logaritma :

^alog b = c maka b = a^c

^plog a = 2 maka a = p²

^qlog 8p = 2 maka 8p = q²

^2plog $begin mathsize 14px style fraction numerator p q squared over denominator a end fraction end style$

= ^2plog $begin mathsize 14px style fraction numerator p left parenthesis 8 p right parenthesis over denominator p squared end fraction end style$

= ^2plog 8
= ^2plog 2³
= 3. ^2plog 2

= 3. $begin mathsize 14px style fraction numerator 1 over denominator log presubscript space presuperscript 2 space 2 p end fraction end style$

= $begin mathsize 14px style fraction numerator 3 over denominator log presubscript space presuperscript 2 space 2 p end fraction end style$

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