Question

Express 8×32 in the form logx+logy

Answer 1

Answer:

log8  + log32

Step-by-step explanation:

We are given that

8 x 32

Suppose that

z = 8x32

We have to express this expression in the form of logx + logy

Now lets take log on both sides

logz = log (8x32)

As we know that by the property of log

logxy = logx + logy

So, using this formula for our above expression, we get the the following equivalent expression

log (8x32) =  log8 + log 32

So, our answer would be

log8  + log32

Answer 2

Solution:

Laws of Logarithmic:

$log(ab) = log(a) + log(b)$

So, to express

$8 \times 32$
in terms of log.

Taking log of LHS

$log(8 \times 32) \\ \\ = log(8) + log(32)$

By this way we can represent the number 8×32 as log x+ log y = log 8+ log 32

Hope it helps you.