Final Exam

Front

What is the condensed form of the expression 2log₃u - log₃z?

Back

log₃(\frac{u^2}{z})

Front

Evaluate log₄1.

Back

0

Front

What is the inverse of logarithmic functions?

Back

Exponential Functions

Front

Solve for x: 6^x = 80.

Back

x ≈ 2.4457

Front

What is the base of a logarithm in log₃u?

Back

3

Front

What is the value of log₃3?

Back

1

Front

If log₄x = 2, what is the value of x?

Back

16

Front

What is the change of base formula for logarithms?

Back

logₐb = \frac{log_c b}{log_c a} for any base c.

Front

What does logₐ1 equal for any base a?

Back

0

Front

What is the relationship between exponential and logarithmic functions?

Back

Logarithmic functions are the inverses of exponential functions.