Match the term to its definition.
1. same as counting numbers counting number
2. first, second, third, factor
3. -4, -3, -2, -1, 0, 1, 2, 3, 4, integer
4. (1, 2, 3, 4, ordinal number
5. a symbol consisting of three parts: a horizontal bar,
a whole number above the bar, and a whole number
other than zero below the bar cardinal number
6. 10 in 104, it is the number to be used as a factor fraction
7. 4 in 104, it is the number of times the base is to be
used as a factor base
8. number that divides evenly into another number prime factor
9. a factor that is also a prime number exponent

This is about types of numbers.

1. Cardinal number

2. Ordinal number

3. Integer

4.  Counting number

5. Fraction

6. Base: The number to be used as a factor

7.  Exponent : it is the number of times the base is to be  

used as a factor

8. Factor

9. A factor that is also a prime number: Prime factor

1) Cardinal numbers are used to measure things which means they must be positive and be natural numbers.  Thus, they are referred to as counting numbers.

2) First, second, third, ...; This talks about order or position and it is ordinal numbers that do this.

3)  (...-4,-3,-2,-1,0,1,2,3,4,...): This is a set of real numbers that are positive, negative or zero. The best definition for them is Integers.

4) (1,2,3,4..) : As seen in answer 1 above, these are counting numbers.

5) This describes a fraction because it has a whole number above a horizontal bar and a non-zero whole number below it which is the denominator.

6)  10 in 10⁴: 10 is the base because it is not raised to any power.

7) 4 in 10⁴: 4 is the exponent because it is the power that 10 is raised to which implies the number of times that the base would be used as a factor.

8) This is a Factor because it can divide into another number equally without any remainder.

9) This is a Prime factor because it has a factor and yet still a prime number.

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what is the answer?

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: