If p = lg &#x2061;<!-- ⁡ --> 5 , express the following in terms of p Express

Carlie Fernandez

Carlie Fernandez

Answered question

2022-05-18

If p = lg 5, express the following in terms of p
Express log 5 2 in terms of p.
log 5 2
log 10 2 log 10 5
log 10 2 p
Then how to simplify it? My book's answer: 1 p 1

Answer & Explanation

Krish Finley

Krish Finley

Beginner2022-05-19Added 14 answers

l g 2 l g 5 = l g 10 5 l g 5 = l g 10 l g 5 l g 5 = 1 p p = 1 p 1
Chaz Blair

Chaz Blair

Beginner2022-05-20Added 4 answers

Consider l o g 10 10 = 1.
Use log identities, i.e. write l o g 10 2 as l o g 10 10 5 which is equal to l o g 10 10 l o g 10 5 which is 1 p as required.

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