Asked by Caitlin Bagwell on Jul 06, 2024

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Evaluate the logarithm. log⁡3[27]\log _ { 3 } [ 27 ]log3[27]

A) -3
B) 9
C) log⁡327\log _ { 3 } 27log327
D) 3
E) log⁡327\log _ { 3 } 27log327 is undefined.

Logarithm

The power to which a base, typically 10 or e, must be raised to produce a given number.

  • Study primary and prevalent logarithms, taking into account the application of logarithmic formulas.
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Karen SerranoJul 13, 2024
Final Answer :
D
Explanation :
The logarithm with base 3 of 27 is asking "what power do I raise 3 to in order to get 27?". The answer is 3, because $3^3=27$. Therefore, $\log_3 [27] = 3$.