Solve the following equations.
log2(x) = 4

x = 16

Step-by-step explanation:

Given:

log₂(x) = 4

Now,

From the properties of log

logₓ (z)=  (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

Given :

Since, we know that:

⇔

Therefore , we can compute the above equation as :

X = 16

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