Logarithmic Scales Worksheet with Answer Key

What's on the worksheet

1. Find the factor the quantity is multiplied by for each reading change.
   pH 6.2 \to 3.2sound level 45 \to 65 decibelsearthquake magnitude 5.8 \to 6.3sound level 82 \to 52 decibelspH 4.5 \to 6.5
2. Find how much each reading changes, and whether up or down, for a factor.
   intensity × 1,000,000 (decibels)[\mathrm{H}^+] \times 10{,}000 (pH)wave amplitude \times\, \dfrac{1}{100} (earthquake magnitude)brightness × 10,000 (star magnitude)brightness \times\, \sqrt{10} (star magnitude)
3. Find the constant of a logarithmic scale from the reading rise for a factor of 100.
4. Compare the acidity of rainwater and orange juice from pH and concentration.
5. Compare star brightness from magnitudes, including the North Star.
6. Check Mateo's claim about a 75 and a 50 decibel sound.
7. Find numbers from positions on a logarithmic axis.