Exponential and Logarithmic Equations

Form: a^f(x) = b

Conditions: a > 0, a ≠ 1, b > 0

Solution method: Take logarithm of both sides

2^x = 8

Base a (a > 0, a ≠ 1):

Equation type:

Right side b (b > 0):

Conditions: a > 0, a ≠ 1, f(x) > 0

Solution method: Convert to exponential form

log₂(x) = 3

Base a (a > 0, a ≠ 1):

Expression type inside log:

Right side b:

Complex forms combining both exponential and logarithmic functions

2^x + 2^x+1 = 12

Choose equation form: