Solving Proportions,

Using Exponents

ProportionsMany 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

Solve for x.

Proportions

Solve for x.

Proportions

Solve for x.

Proportions

Solve for x.

ExponentsUnderstanding and using exponents and logarithms will be essential in chemistry.positive powers: 33 = 3*3*3

negative powers: 3-3 =

negative bases: -33 = -3*-3*-3fractional bases: 3 = **

ExponentsUnderstanding and using exponents and logarithms will be essential in chemistry.powers of 1: 31 = 3

powers of 0: 30 = 1

radicals: = 31/3

mixed radicals: = 32/3

ExponentsUnderstanding and using exponents and logarithms will be essential in chemistry.multiplying common bases:

33*32 = 33+2

dividing common bases: 33÷32 = 33–2

base 10 logarithms:log10(100) = 2

102 = 100natural logarithms:loge(148.4) = 5

e5 = 148.4

Logarithms

Calculate log(71)

Logarithms

Calculate log(1684)

Logarithms

Calculate 103

Logarithms

Calculate ln (0.03)

Logarithms

23) Calculate e-1.08