Question

Expand log
$49 \div 64$
​

Answer 1

Answer is in terms of logarithmic formulas

Answer 2

The expandation of $\log \dfrac{49}{64}$ is $2\log {7}-2\log {8}.$

Step-by-step explanation:

We have,

$\log \dfrac{49}{64}$

To expand, $\log \dfrac{49}{64}=?$

∴$\log \dfrac{49}{64}$

$=\log {49}-\log{64}$

[ ∵$\log \dfrac{m}{n}=\log {m}-\log{n}$]

$=\log {7^{2}}-\log{8^{2}}$

$=2\log {7}-2\log {8}$

[ ∵$\log {a^{m}}=m\log {a}$]

The expandation of $\log \dfrac{49}{64}=2\log {7}-2\log {8}$

Hence, the expandation of $\log \dfrac{49}{64}$ is $2\log {7}-2\log {8}.$