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### Question 1

What is x if log_{x}$(3/5)$ = $1/2$?

### Question 2

What is log$4$ + log$1/4$?

### Question 3

What is the value of log_{2}(128)?

### Question 4

What is P if $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = 1 + $\text"log"_5(P + 4)$?

**A**

$1{5/11}$.

**B**

$2{7/10}$.

**C**

${5/13}$.

**D**

$3{10/13}$.

**Soln.**

**Ans: a**

We have $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = $\text"log"_5(5)$ + $\text"log"_5(P + 4)$. It is same as $\text"log"_5(4 × (4P + 1))$ = $\text"log"_5(5 × (P + 4))$. Equating the logs, $4 × (4P + 1) = 5 × (P + 4)$, solving for P we get P = $1{5/11}$.

### Question 5

What is the value of log_{2}(128)?

This Blog Post/Article "Logarithms Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.

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