Question

Please solve the above question!!!!!!​

Answer 1

 

$3 log2-\frac{1}{3}log27-log4+3log5\\\\\implies log2^3-log27^{1/3}-log4+log5^3\\\\\implies log8-log3-log4+log125\\\\\implies log(\frac{8\times125}{4\times3})\\\\\implies log(\frac{1000}{12})\\\\\implies log1000-log12\\\\\implies log10^3-log12\\\\\implies 3-log12$

EXPLANATION :

Use log ( abc ) = log a + log b + log c .

Use log aᵇ = b log a

Answer 2

heya..

✔here is ua answer:

✔using formulas

log m×n= log m + log n

=>log 6 + 2log5+log 4 -log 3 -log 2 =

log 2×3 + 2log 5 + log 2×2 - log 3 -log 2

=> log 2 + log 3 +2 log 5 +log 2+ log 2 - log 3 - log 2

=> 2log 2 +2 log 5 = 2( log 2 + log 5)

=> 2log 2×5 = 2log 10 = 2

hope it helps..!!❤