Question

What is log base 5(4*7 )+log base 5 of 2 written as a single log?

A.log base 5 of 21
B.log base 5 of 26
C.log base 5 of 30
D.log base 5 of 56

Answer 1

D. log base 5 of 56

Explanation:

Since, by the multiplication law of logarithm,

`log_a(m)+log_a(n) = log_a(mn)`

Given expression is,

log base 5(4*7 )+log base 5 of 2

`=log_5(4* 7)+log_5(2)`

`=log_5(28)+log_5(2)`

By the above property,

`=log_5(28* 2)`

`=log_5(56)`

= log base 5 of 56

Hence, Option D is correct.

Answer 2

The answer for the exercise shown above is the last option (Option D), which is:

D. log base 5 of 56

The explanation is show below:

1. You have the following logarithm expresssion:

log5(4*7 )+log5(2)

2. By the logarithms properties, you can rewrite the logarithm expression as following:

log5(28)(2)
log5(56)

3. Therefore, as you can see, the answer is the option mention before.