Question

Logb sqrt 29/61 Is it logb (29-61)?? am i right

Answer 1

Answer:

$log_b{\sqrt{\frac{29}{61}}=log_b(\sqrt{29}-\sqrt{61}})$

Step-by-step explanation:

We have been given the expression:

$log_b{\sqrt{\frac{29}{61}}$

We will use the property:

$log_a{\frac{n}{m}}=log_a{m-n}[$

Here, $a=b,n=\sqrt{29}\text{and}m=\sqrt{61}$

So, we will get from the identity:

$log_b{\sqrt{\frac{29}{61}}=log_b(\sqrt{29}-\sqrt{61})$

Hence, you are not right because you removed square rrot in final result rest is right.

Answer 2

Expand the logarithmic expression. log(base b) sqrt 29/61 

Using the basic log rules:

we get (1/2) [log (base b) 29 - log (base b) 61 ] . 

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