Question

State whether true or false:

$1-2\log 5+3\log 2$ is $\log \frac{8}{9}$,

• A. True
• B. False

Answer 1

The correct option is B False

$x=1-2\log 5+3\log 2$

$\therefore x=\log 10-\log 5^2+\log 2^3$....($\log a^b=b\log a$)

$\therefore x=\log \frac{10}{25}+\log 2^3$....($\log \frac{a}{b}=\log a-\log b$)

$\therefore x=\log \frac{2\times 8}{5}=\log \frac{16}{5}$