Finding logarithm using change-of-base formula


Assignment:

Q1. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this and show your work

ln x - ln (x - 4) = ln 4

Q2. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this and show your work.

log x = 1

Q3. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this and show your work.

et = 1000

Q4. Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth.

logπ 14.2

Q5. Given that log 2 ≈ 0.301 and log 3 ≈ 0.477, find the following.

log9 8

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Finding logarithm using change-of-base formula
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