Converting Logs to Exponents and Vice Versa

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Rewrite in logarithmic form: 9^(3/2) = 27.

Back

log_9(27) = 3/2

Front

Rewrite log_3(t) = 5 in exponential form.

Back

3^5 = t

Front

Evaluate: log_4(16)

Back

2

Front

True or False: log_8(64) = 2

Back

True

Front

What is the base in a logarithm?

Back

The base is the number that is raised to a power to obtain another number.

Front

Convert the exponential equation 2^x = 8 to logarithmic form.

Back

log_2(8) = x

Front

What does log_b(a) represent?

Back

The exponent to which the base b must be raised to produce a number a.

Front

Evaluate: log_10(100)

Back

2

Front

If log_5(25) = x, what is the value of x?

Back

2