Write the logarithmic equation in exponential form. log2 16 = 4

A logarithm is an exponent. The base of the logarithm is what it is an exponent of. The argument of the logarithm function is the value that you get when you raise the base to the power indicated by the exponent.

Here, the logarithm is 4, so that is the exponent of the base, which is 2. The argument of the log function is 16, so that is the result of raising 2 to the power of 4.

In exponential form, the given expression is equivalent to

 2⁴ = 16

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.