Question

5 log 2 - log 4 =log x value of x

Answer 1

5 log 2 - log 4 =log x
log 2^5 - log 4 = log x
log 32 - log 4 =log x
log 32/4 =log x
log 8 = log x
x = 8

mark brainliest if useful

Answer 2

$5 \: log \: 2 - log \: 4 = log \: x$

Since,
$a log \: b = log \: {b}^{a}$
So in the next step we have,

$log \: {2}^{5} - log \: 4 = log \: x$

Also,
$log \: m - log \: n = log \frac{m}{n}$

Using this property,
$log \: \frac{ {2}^{5} }{4} = log( \: x) \\ log \: \frac{ {2}^{5} }{ {2}^{2} } = log \: x\\ log \: {2}^{3 } = log \: x$

Therefore,

$x = {2}^{3} = 8$