Properties of Logarithms

Front

What is the property of logarithms that states log_a(b) + log_a(c) = log_a(b * c)?

Back

This property is known as the Product Property of Logarithms.

Front

What is the property of logarithms that states log_a(b) - log_a(c) = log_a(b / c)?

Back

This property is known as the Quotient Property of Logarithms.

Front

What is the property of logarithms that states n * log_a(b) = log_a(b^n)?

Back

This property is known as the Power Property of Logarithms.

Front

What is the base of the common logarithm?

Back

The base of the common logarithm is 10.

Front

Write the expression log 6 - log 3 + 2 log 7 as a single logarithm.

Back

log 98.

Front

Write the expression log 12 + 2 log x as a single logarithm.

Back

log (12x^2).

Front

What is the value of log_10(100)?

Back

The value is 2, because 10^2 = 100.

Front

What is the value of log_10(1)?

Back

The value is 0, because 10^0 = 1.

Front

What is the value of log_a(a)?

Back

The value is 1, because a^1 = a.

Front

What is the value of log_a(1)?

Back

The value is 0, because a^0 = 1.