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Jika dan maka, ab= …

Jika a equals log presubscript space presuperscript 9 open parentheses cube root of 16 close parentheses dan b equals log presubscript space presuperscript 2 open parentheses 1 third close parentheses maka, ab= …

  1. 4 over 3

  2. 2 over 3

  3. 4 over 9

  4. negative 2 over 3

  5. negative 4 over 3

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Maka:

log presubscript space presuperscript a space b. log presubscript space presuperscript b space c equals log presubscript space presuperscript a space c log presubscript space presuperscript a space a equals 1 open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent log presubscript space presuperscript a to the power of n end presuperscript space b to the power of m equals m over n. log presubscript space presuperscript a space b

Maka:

a b equals log presubscript space presuperscript 9 space open parentheses cube root of 16 close parentheses. log presubscript space presuperscript 2 space open parentheses 1 third close parentheses equals log presubscript space presuperscript 9 space open parentheses 2 to the power of 4 close parentheses to the power of 1 third end exponent. space log presubscript space presuperscript 2 space open parentheses 3 to the power of negative 1 end exponent close parentheses equals log presubscript space presuperscript 9 space open parentheses 2 to the power of 4 over 3 end exponent close parentheses log presubscript space presuperscript 2 space 3 to the power of negative 1 end exponent equals 4 over 3. log presubscript space presuperscript 9 space 2. log presubscript space presuperscript 2 space 3 to the power of negative 1 end exponent equals 4 over 3 log presubscript space presuperscript 3 squared end presuperscript space 3 to the power of negative 1 end exponent equals 4 over 3 open parentheses negative 1 half close parentheses log presubscript space presuperscript 3 space 3 equals negative 2 over 3.1 equals negative 2 over 3

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