Question

write 2log3+3log5-log2 as single logarithm​

Answer 1

Answer: 3log^2*5log^3/log2

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$\log 10+2\log 3-\log 2=\log 45$

Step-by-step explanation:

Given :Expression $\log 10+2\log 3-\log 2$

To find : Express the expression in one logarithm ?

Solution :

Using logarithmic properties,

$a\log x=\log x^a$

$\log ab=\log a+\log b$

$\log \frac{a}{b}=\log a-\log b$

$\log 10+2\log 3-\log 2=\log 10+\log 3^2-\log 2$

$\log 10+2\log 3-\log 2=\log 10+\log 9-\log 2$

$\log 10+2\log 3-\log 2=\log (\frac{10\times 9}{2})$

$\log 10+2\log 3-\log 2=\log 45$

Therefore, $\log 10+2\log 3-\log 2=\log 45$

2(log a+log a2 +log a3+ log a⁴+...+log an)