Suppose . Compute in terms of and .

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Suppose $a\neq 0$ . Compute $\log_{2^a} 2^b$ in terms of and .

Guest Dec 14, 2014

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Best Answer

Interesting question!

Change from log notation to exponential notation: base = 2^a, exponent = x, answer = 2^b :

log_2^a²^b = x ---> (2^a)^x= 2^b ---> 2^ax = 2^b ---> ax = b ---> x = b/a

geno3141 Dec 14, 2014

geno3141 · Answer 1 · 2014-12-14T10:25:24

Interesting question!

Change from log notation to exponential notation: base = 2^a, exponent = x, answer = 2^b :

log_2^a²^b = x ---> (2^a)^x= 2^b ---> 2^ax = 2^b ---> ax = b ---> x = b/a