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Logb121=2   
Can somebody help and explain?

User Gotti
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2 Answers

3 votes

log_b 121=2 \\ log_b 11^2=2 \\ 2log_b11=2 \\ log_b11=1
therefore b=11
User Kiwi
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2 votes

log_b121=2\iff b^2=121\to b=√(121)\to b=11\\\\b > 0\ \wedge\ b\\eq1\\\\\\\log_ab=c\iff a^c=b
User KBP
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