Log and Exponential Basics

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Solve the equation for x: log_10 x = 2

Back

x = 100

Front

Rewrite in exponential form: 5 = log_b 32

Back

b^5 = 32

Front

Simplify the exponential expression: 2^3 * 2^5

Back

2^8

Front

Convert to logarithmic form: 2^3 = 8

Back

log_2 8 = 3

Front

If log_10 100 = x, what is x?

Back

x = 2

Front

Express log_4 16 in terms of base 2.

Back

log_4 16 = 4 (since 16 = 4^2)

Front

What is the definition of a logarithm?

Back

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

Front

Convert to exponential form: log_5 25 = 2

Back

5^2 = 25