Logs & Exponentials Properties and Equations Flashcard

Front

Rewrite log_x 95 = 2.3

Back

x^2.3 = 95

Front

Condense: log16 + log2 - log8

Back

log4

Front

Solve for 'x': log_6(3x - 2) = log_6(5x - 8)

Back

x = 3

Front

Evaluate the logarithm: log_3 27

Back

3

Front

What is the property of logarithms that states log_a(b) + log_a(c) = log_a(bc)?

Back

Product Property of Logarithms

Front

What is the property of logarithms that states log_a(b) - log_a(c) = log_a(b/c)?

Back

Quotient Property of Logarithms

Front

What is the property of logarithms that states n * log_a(b) = log_a(b^n)?

Back

Power Property of Logarithms

Front

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

Back

a^c = b

Front

What is the value of log_10(1000)?

Back

3

Front

What is the change of base formula for logarithms?

Back

log_a(b) = log_c(b) / log_c(a) for any base c.