The expression log _{ 3 } 243 means "the logarithm of with base ".

Write the given equation in logarithmic form.

5 ^{ 2 } = 25.

.

Determine the equivalent exponential form of the equation:

log _{ 6 } 216 = 3

Write the given equation in exponential form.

log _{ 6 } 1296 = 4.

Evaluate the logarithm.

log _{ 3 } 3 ^{ 4 } .

log _{ 4 } 64.

Without using a calculator, evaluate the expression:

log _{ 9 } 9

log _{ 3 } 243 = because to the power is 243.

log _{ 3 } 81

Find the value of the given expression:

Without the help of a calculator, find log _{ 3 } 243 and log _{ 243 } 3.

Simplify:

If g ( x ) = 7 ^{ x } , then g ^{ –1 } ( x ) = ? .

Give the domain and the range of g and g ^{ –1 } .

Find an equation for the inverse of the relation:

y = ln 5 x

y = ln ( x + 3)

Given a logarithm function with equation y = log _{ n } x and the conditions n 0 and n 1, name one point which is on the graph of all such functions.

Graph y = log _{ 3 } x and state the domain and range:

Graph y = log ( x – 3) and state the domain and range.

Graph

And state the domain and range.

Solve the given equation.

log _{ a } 2 = ^{ 1 } / _{ 2 }

log _{ 100 } c = –0.5

log _{ 11 } x = 0

Solve for x :

Solve:

Solve for x .

log _{ 3 } (3 x + 5) – log _{ 3 } ( x + 2) 3

If 0 c 1 and 0 p 1, is log _{ c } p positive or negative?