Logarithmic Equations

Front

Convert 10^(x+5)=100 to logarithmic form.

Back

log(100)=x+5

Front

Graph of a logarithmic function typically shows:

Back

A gradual increase, approaching the y-axis but never touching it.

Front

Solve for x: 2log_5(7) = 3x + 1 log_5(49)

Back

x = 0

Front

Solve for x: log_4(x) = 3

Back

x = 64

Front

Convert log(x)=y+2 to exponential form.

Back

10^(y+2)=x

Front

Definition of a logarithm:

Back

The logarithm of a number is the exponent to which the base must be raised to produce that number.

Front

Change of base formula for logarithms:

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

If log_b(a) = c, then the equivalent exponential form is:

Back

b^c = a

Front

Properties of logarithms: log_b(mn) = ?

Back

log_b(m) + log_b(n) (Product Property)

Front

Properties of logarithms: log_b(m/n) = ?

Back

log_b(m) - log_b(n) (Quotient Property)