Question

Find the following answer log10×log16/log2

Answer 1

Answer:

$\large\bold\red{4}$

Step-by-step explanation:

We have to find the value of,

$log(10) \times \frac{ log(16) }{ log(2) }$

Further Simplifying,

We get,

$= log(10) \times \frac{ log( {2}^{4} ) }{ log(2) }$

But,

We know that,

• $log( {x}^{y} ) = y log(x)$

Therefore,

We get,

$= log(10) \times \frac{4 log(2) }{ log(2) } \\ \\ = 4 log(10)$

But,

We know that,

• $log(10) = 1$

Therefore,

We get,

$= 4 \times 1 \\ \\ = 4$