Question

Write the following expression as a single logarithm with coefficient 1. log 9 10- log9 1/2-log9 4

Answer 1

Answer:

The answer is A) log sub9 5

Step-by-step explanation:

easy points got the answer from above (- . -)

Answer 2

we are given

$log_9(10)-log_9(\frac{1}{2} )-log_9(4)$

we can also write as

$log_9(10)-(log_9(\frac{1}{2} )+log_9(4))$

Since, the base of logs are same

so, we can use property

$log_a(b)+log_a(c)=log_a(b\times c)$

$log_9(10)-(log_9(\frac{1}{2}\times 4)$

$log_9(10)-log_9(2)$

we can use property of log

$log_a(b)-log_a(c)=log_a(\frac{b}{c} )$

so, we get

$log_9(10)-log_9(2)=log_9(\frac{10}{2} )$

$log_9(10)-log_9(2)=log_9(5)$

So, we get

$log_9(10)-log_9(\frac{1}{2} )-log_9(4)=log_9(5)$.............Answer