Log Worksheet
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Logarithms Worksheet Use the properties of logarithms to find the exact value. 1. log2 2−13
4. log6 18 − log6 3
2. eln 8
5. 3log3 5−log3 4
3. log8 2 + log8 4
6. 5log5 6+log5 7
Simplify the following logarithmic expressions to sums or differences. √ 3. ln(x2 1 − x) 1. log2 z 3 2. ln xex
4. ln
h
i √ 5x2 3 1−x 2 4(1+x)
Express y as a function of x. 1. ln y = ln x + ln C
3. ln(y − 3) = −4x + ln C
2. ln y = ln x + ln(x + 1) + ln C
4. 3 ln y = 12 ln(2x + 1) − 13 ln(x + 4) + ln C
1. Show that log x +
√
√ x2 + 1 + log x − x2 + 1 = 0.
4. log6 18 − log6 3
2. eln 8
5. 3log3 5−log3 4
3. log8 2 + log8 4
6. 5log5 6+log5 7
Simplify the following logarithmic expressions to sums or differences. √ 3. ln(x2 1 − x) 1. log2 z 3 2. ln xex
4. ln
h
i √ 5x2 3 1−x 2 4(1+x)
Express y as a function of x. 1. ln y = ln x + ln C
3. ln(y − 3) = −4x + ln C
2. ln y = ln x + ln(x + 1) + ln C
4. 3 ln y = 12 ln(2x + 1) − 13 ln(x + 4) + ln C
1. Show that log x +
√
√ x2 + 1 + log x − x2 + 1 = 0.
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