If the logarithm of a number of the base \sqrt8 is 6, then the number is:

Logarithms Practice Test 2

Question : 25 of 39

Marks: +1, -0

If the logarithm of a number of the base

√8

is 6, then the number is:

Solution:

\log_√8 x=6

⇒x=(√8)^6=(2^{3/2})^6

⇒x=2^9=512

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