Converting and Solving Logarithms

Front

log ₃9 = ?

Back

2

Front

Rewrite: 14^-2 = 1/196

Back

log₁₄(1/196) = -2

Front

log ₁₆ 8 = ?

Back

3/4

Front

log ₂₅ 5 = ?

Back

1/2

Front

Rewrite: 19⁰ = 1

Back

log₁₉1 = 0

Front

Definition of a logarithm:

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

Change of base formula:

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

If log_b(x) = y, then what is x?

Back

x = b^y.

Front

What is log_a(a) equal to?

Back

1, because a¹ = a.

Front

What is log_a(1) equal to?

Back

0, because a⁰ = 1.