Converting between Exponents and Logs

Front

Rewrite log_v n = a in exponential form.

Back

v^a = n

Front

Rewrite log_3 t = 5 in exponential form.

Back

3^5 = t

Front

Rewrite log_n m = -2 in exponential form.

Back

n^-2 = m

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

What is the base in the logarithmic expression log_b x?

Back

The base is b.

Front

If log_b x = y, what is the equivalent exponential form?

Back

b^y = x

Front

What does log_10 100 equal?

Back

2, because 10^2 = 100.

Front

What is the value of log_2 8?

Back

3, because 2^3 = 8.

Front

If log_a b = c, what can we say about a, b, and c?

Back

a^c = b.