Pertanyaan

Jika a 1 dan memenuhi persamaan , maka a 1 a 2 adalah ….

Jika $a_{1}$ dan ${\style{font-size:14px}a}_\style{font-size:14px}2$ memenuhi persamaan $begin mathsize 14px style open parentheses 2 log invisible function application a minus 1 close parentheses times fraction numerator 1 over denominator log presubscript blank presuperscript a invisible function application 10 end fraction equals log invisible function application 100 over a end style$ , maka $a_{1} a_{2}$ adalah ….

-10
-1
0,1
1
10

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Pembahasan

Misalkan log a = p, maka Sehingga saat p = -1, maka Saat p = 1, maka

$begin mathsize 14px style open parentheses 2 log invisible function application a minus 1 close parentheses times fraction numerator 1 over denominator log presubscript blank presuperscript a invisible function application 10 end fraction equals log invisible function application 100 over a open parentheses 2 log invisible function application a minus 1 close parentheses times fraction numerator 1 over denominator log presubscript blank presuperscript a invisible function application 10 end fraction equals log invisible function application 100 minus log invisible function application a open parentheses 2 log invisible function application a minus 1 close parentheses times left parenthesis log invisible function application a right parenthesis equals 2 minus log invisible function application a end style$

Misalkan log a = p, maka

Sehingga saat p = -1, maka

Saat p = 1, maka

begin mathsize 14px style log invisible function application a equals 1 rightwards arrow a equals 10 a subscript 1 a subscript 2 equals 1 over 10 open parentheses 10 close parentheses equals 1 end style