# Worksheet: Rearranging Formulas involving Logarithms

In this worksheet, we will practice rearranging formulas that contain logarithms and exponents.

Q1:

Which of the following algebraic expressions is a simpler form of , where and are variables?

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Q2:

Which of the following algebraic expressions is a simpler form of , where and are variables?

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Q3:

The quantities , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q4:

The quantities , , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q5:

Which of the following algebraic expressions is a simpler form of , where and are variables?

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Q6:

The distance in parsecs, , to a star can be calculated from the apparent magnitude of the star, , and the absolute magnitude of the star, , using the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q7:

The quantities , , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q8:

For a capacitor that is discharging through a circuit that contains only a resistor, the charge, , remaining on the capacitor at a time after the capacitor began discharging is given by , where is the charge on the capacitor when , is the resistance of the resistor, and is the capacitance of the capacitor. Which of the following shows a rearrangement of this formula with as the subject?

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Q9:

The quantities , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q10:

The quantities , , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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Q11:

Which of the following algebraic expressions is a simpler form of , where and are variables?

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• E

Q12:

The quantities , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

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• B
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• D
• E

Q13:

The quantities , , and are related to each other by the formula . Which of the following shows a rearrangement of this formula with as the subject?

• A
• B
• C
• D