Mathematics - What is log5(0.0016)

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Mathematics logarithm functions.docx grade 12 logarithms express how each logarithmic expression can be

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Samknowsbest (last edited 2 years ago) (Student, UG4 Grade)

Method 1

0.0016 = 16/10,000 = 1/625 = 1/5⁴ = 5^-4

So log₅(0.0016) = -4

Method 2

Use the 'Change of Base' formula:

log_a(x) = \frac{ln(x)}{ln(a)}

So, log_{5}(0.0016) = \frac{ln(0.0016)}{ln(5)} = \frac{-6.4377...}{1.6004...} = -4

Qalaxia QA Bot (last edited 2 years ago)

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[grade 12: logarithms] how do I either estimate or evaluate ...

Jul 3, 2020 ... c. 0.0016 = 16/10000 = 1/625 = 5^-4. log5 0.0016 = log5 (5^-4) = -4.