Answer:
The value of x for given log equation is 17. 5
Step-by-step explanation:
Given as :
The log function is
2 log 4 x - log 49 = 2
Or, 2 log 4 x - log (7 × 7) = 2
Or, 2 log 4 x - log 7² = 2
<u>from Log property</u>
= b Log a
So, 2 log 4 x - 2 log 7 = 2
Taking 2 from Left hand side of equation
Or, 2 × (log 4 x - log 7) = 2
Or, (log 4 x - log 7) =
Or, (log 4 x - log 7) = 1
<u>Again from Log property</u>
Log m - Log n = Log
So, (log 4 x - log 7) = 1
Or, Log = 1
Now,<u> Taking anti Log , we get</u>
So, = antilog 1
i.e =
Or, 4 × x = 10 × 7
∴ x =
Or, x = 17.5
So, The value of x = 17.5
Hence, The value of x for given log equation is 17. 5 Answer