Question

Solve the following equations.
log2(x) = 4

Answer 1

Given :

`log_(2)X = 4`

Since, we know that:

`log_(b)Y = X` ⇔
`Y = b^(X)`

Therefore , we can compute the above equation as :

`2^(4) = X`

X = 16

Answer 2

x = 16

Explanation:

Given:

log₂(x) = 4

Now,

From the properties of log

logₓ (z)=
`(\log(z))/(\log(x))` (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

therefore,

the given equation can be deduced as:

log₂(x) = 4

into,

x = 4²

or

x = 16