# change-of-base formula

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1. 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

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

log x = 1

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

et = 1000

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

logπ 14.2

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

log9 8

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##### Solution Summary

The expert applies the change-of-base formula within this questions. Logarithmic equations are solved.

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1. 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

Ln(x/(x-4))=ln4

x/(x-4)=4

x=4(x-4)

x=4x-16

3x=16

X=16/3=5.333

2. Solve. Where appropriate, include ...

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