7.1.4 Properties of Logarithms − Practice
1. Express log 2 8 + log 2 2 as a single logarithm and simplify.
2. Simplify.
3
1 64 8
log
3. Simplify. 9 log 9 71
4. Simplify. log 343 49
5. Use a calculator to find log 8 72 to the nearest thousandth.
6. The loudness L of sound in decibels is given by = L I 10log , where I is the
I
0
intensity of sound and I 0 is the intensity of the least audible sound. If = − I W m 10 , 0 12 2 about how many times more intense is a 84 decibel sound than a 76 decibel sound?
117
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