Question

please any brain full fellow answer this two questions​

Answer 1

Question:

If $\tt {x}^{2}+{y}^{2}$ = 25xy , then prove that 2log(x+y)+log+logy

Solution :

$\tt {x}^{2} + {y}^{2}$ = 25xy

Adding 2xy on both the sides

$\tt \implies {x}^{2} + {y}^{2} +2xy$ = 25xy +2xy

$\tt \implies {(x+y)}^{2}$ = 27xy

Taking log on both the sides

$\tt \implies log{(x+y)}^{2}$ = log(27xy)

$\tt \implies$ 2log(x+y) = log27 + logx + logy

$\tt \implies$ 2log(x+y) = log $\tt {3}^{3}$ + logx + logy

$\tt \implies$ 2log(x+y) = 3log3 + logx + logy

Hence proved

Properties of log :

● log(ab) = loga + logb

● log(a/b) = loga - logb

● log$\tt {a}^{b}$ = bloga

● log1 = 0

● log0 = not defined