Question

Which of the following illustrates the product rule for logarithmic equations?

a. 10log_2 (4x) = 10log_2(4) − 10log_2(x)
b. 10^92 (4x) = 10^92⋅4⋅10^92x
c. 10 ln(4x) = 10 ln(4) − 10 ln(x)
d. 10^92(4x) = 10^92⋅10^92x

Answer 1

The product rule for logarithmic equations states that the logarithm of a product of two numbers is equal to the sum of the logarithms of the individual numbers. Option c. 10 ln(4x) = 10 ln(4) - 10 ln(x) illustrates the product rule for logarithmic equations.

Step-by-step explanation:

The product rule for logarithmic equations states that the logarithm of a product of two numbers is equal to the sum of the logarithms of the individual numbers.

In this case, option c. 10 ln(4x) = 10 ln(4) − 10 ln(x) illustrates the product rule for logarithmic equations. The logarithm of the product 4x is equal to the sum of the logarithms of 4 and x.