log27(X) as a logarithm to base 3, please show step by step. the answer is 1/3 x Log3(x), show the working to it to get brainliest
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Step-by-step explanation:
Let x denote the required logarithm.
Therefore, log2√3 1728 = x
or, (2√3)x = 1728 = 26 ∙ 33 = 26 ∙ (√3)6
or, (2√3)x = (2√3)6
Therefore, x = 6.
(ii) 0.000001 to the base 0.01.
Solution:
Let y be the required logarithm.
Therefore, log0.01 0.000001 = y
or, (0.01y = 0.000001 = (0.01)3
Therefore, y = 3.
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