Converting Logarithms and Exponential Functions

Front

What is the logarithmic form of the equation 10^2 = 100?

Back

log10(100) = 2

Front

Convert the logarithmic expression log2(8) to exponential form.

Back

2^3 = 8

Front

What is the base of the logarithm in the expression log5(25)?

Back

5

Front

If logb(x) = y, what is the equivalent exponential form?

Back

b^y = x

Front

What is the inverse relationship between logarithmic and exponential functions?

Back

Logarithmic functions are the inverse of exponential functions.

Front

Convert the exponential equation 3^4 = 81 to logarithmic form.

Back

log3(81) = 4

Front

What is the value of log10(1000)?

Back

3 (because 10^3 = 1000)

Front

If loga(b) = c, what does this imply about a, b, and c?

Back

a^c = b

Front

Convert log4(16) to exponential form.

Back

4^2 = 16

Front

What is the definition of a logarithm?

Back

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