First slide

Types of real valued functions XI

Question

If $a^{4} \cdot b^{5} = 1$ then the value of $\log_{a} (a^{5} b^{4})$ is

Moderate

A

9/5
B

4
C

5
D

8/5

Solution

$Given 4 \log_{a} a + 5 \log_{a} b = 0$
$\Rightarrow \log_{a} b = - 4 / 5 - - - (i)$
$\log_{a} (a^{5} b^{4}) = 5 + 4 \log_{a} b = 5 + 4 (- \frac{4}{5})$
$= 5 - \frac{16}{5} = \frac{9}{5}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App