Question

(e) log2 x - log4 x = 2​

Answer 1

Answer:

log2x-2log2x=2

-log2x=2

x=2

Answer 2

Answer:

$x=\frac{-2}{log2}$

Step-by-step explanation:

In the given equation,

We have been provided that,

$(log2)x-(log4)x=2$

Now we also know that according to the property of the logarithms,

$logA^{2}=2logA$

That is the power raised to the value of the log can be taken out as a common product of the value.

So,

On further solving the equation we can find out that,

Using the same in the above equation,

$(log2)x-(2log2)x=2\\-log(2)x=2\\So,\\x=\frac{-2}{log2}$

Therefore, the correct value of x is given by,

$x=\frac{-2}{log2}$