Question

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?

log Subscript 5 Baseline 21
log Subscript 5 Baseline 26
log Subscript 5 Baseline 30
log Subscript 5 Baseline 56

Answer 1

D

Explanation:

i took the test 2021

Answer 2

`log_(5)56` (log Subscript 5 Baseline 56)

Explanation:

On this question, we have to remember basically of one property: the sum of the same base logarithms.

The sum of the same base Logarithms is equal to the product of it. We'll use in this question twice, to decompose the log of (4*7) and then to solve the sum of it all.

`log_(5)(4*7)+log_(5)(2)=log_(5)4+log_(5)7+log_(5)2 \Rightarrow log_(5)(4*7*2)\Rightarrow log_(5)56`

By the way,

`log_(5)56\approx2.5`