Logarithmic Scales - Magnitude Pair to Measured Value Ratio (Level 1)

Logarithmic Scales - Magnitude Pair to Measured Value Ratio

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 1 \\ \text{pH} sub 1 = 12$

If 2 solutions have pHs of 12 and 1 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 1 multiplied by 10 to the power of 11$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 3.16 multiplied by 10 to the power of 12$

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 2 \\ \text{pH} sub 1 = 6$

If 2 solutions have pHs of 6 and 2 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 100$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 10,000$

$A LaTex expression showing \text{dB} = 10\log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \beta sub 2 = 130 \text{dB} \\ \beta sub 1 = 120 \text{dB}$

If 2 sounds have dB magnitudes of 120 and 130 on the decibel scale what is the ratio of their sound energy measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 2.51$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 10$

$A LaTex expression showing \text{pH} = -\log{[\text{H} to the power of + ]}\\ \\ \text{pH} sub 2 = 2 \\ \text{pH} sub 1 = 3$

If 2 solutions have pHs of 3 and 2 on the pH scale what is the ratio of their Hydrogen ion concentration measurements?

a $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 10$

b $A LaTex expression showing \frac{[\text{H} to the power of + ] sub 2 }{[\text{H} to the power of + ] sub 1 } = 0.316$

$A LaTex expression showing \text{M} = \log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \text{M} sub 2 = 7 \\ \text{M} sub 1 = 2$

If 2 earthquakes have magnitudes of 2 and 7 on the Richter scale what is the ratio of their wave size measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 100,000$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 316,228$

$A LaTex expression showing \text{dB} = 10\log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \beta sub 2 = 80 \text{dB} \\ \beta sub 1 = 40 \text{dB}$

If 2 sounds have dB magnitudes of 40 and 80 on the decibel scale what is the ratio of their sound energy measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 6,310$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 10,000$

$A LaTex expression showing \text{M} = \log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \text{M} sub 2 = 6 \\ \text{M} sub 1 = 1$

If 2 earthquakes have magnitudes of 1 and 6 on the Richter scale what is the ratio of their wave size measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 100,000$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 316,228$

$A LaTex expression showing \text{M} = \log{(\frac{\text{I}}{\text{I} sub 0 })}\\ \\ \text{M} sub 2 = 8 \\ \text{M} sub 1 = 5$

If 2 earthquakes have magnitudes of 5 and 8 on the Richter scale what is the ratio of their wave size measurements?

a $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 1,000$

b $A LaTex expression showing \frac{\text{I} sub 2 }{\text{I} sub 1 } = 100$

Logarithmic Scales - Magnitude Pair to Measured Value Ratio

Logarithmic Scales - Magnitude Pair to Measured Value Ratio Worksheet