Logs & Exponentials Properties and Equations Flashcard

Front

Solve for x: log₆x + log₆(x-5) = 2

Back

x = 9

Front

Solve for x: log₆(3x - 2) = log₆(5x - 8)

Back

x = 3

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Solve for n: 2^(3n) = 4

Back

n = 2/3

Front

What is the product property of logarithms?

Back

logₐ(b) + logₐ(c) = logₐ(bc)

Front

What is the quotient property of logarithms?

Back

logₐ(b) - logₐ(c) = logₐ(b/c)

Front

What is the power property of logarithms?

Back

k * logₐ(b) = logₐ(b^k)

Front

If logₐ(b) = c, what is the equivalent exponential form?

Back

a^c = b

Front

What is the change of base formula for logarithms?

Back

logₐ(b) = logₓ(b) / logₓ(a) for any base x

Front

Solve for x: log₆(2x + 1) = 1

Back

x = 2