 # Solving Proportions, Using Exponents. Proportions Many chemistry problems deal with changing one variable and measuring the effect on another variable.

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Solving Proportions, Using Exponents

Proportions Many chemistry problems deal with changing one variable and measuring the effect on another variable. We call these proportions (fractions) when there is a direct relationship between the two variables. When you recognize a problem as a proportion, you can easily solve it by cross- multiplying to isolate the unknown variable.

Proportions

Proportions

Proportions

Proportions

Exponents Understanding and using exponents and logarithms will be essential in chemistry. positive powers:3 3 = 3*3*3 negative bases:-3 3 = -3*-3*-3

Exponents Understanding and using exponents and logarithms will be essential in chemistry. powers of 1:3 1 = 3 powers of 0:3 0 = 1

Exponents Understanding and using exponents and logarithms will be essential in chemistry. multiplying common bases:3 3 *3 2 = 3 3+2 dividing common bases: 3 3 ÷3 2 = 3 3–2 base 10 logarithms: log 10 (100) = 2 10 2 = 100 natural logarithms: log e (148.4) = 5 e 5 = 148.4

Logarithms Calculate log(71)

Logarithms Calculate log(1684)

Logarithms Calculate 10 3

Logarithms Calculate ln (0.03)

Logarithms 23) Calculate e -1.08

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