Question

Convert the exponential to a logarithmic form: 10^4 = 10,000

Question 1 options:

A)

log 10 = 4

B)

log 4 = 10

C)

log 10,000 = 4

D)

log 4 = 10,000

Answer 1

C

Explanation:

Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).

In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.