if n and x are each integers and 6=n^x then which expression represents 36n?
a)n^6x
b)n^6x+1
c)n^2x+1
d)n^x+3
e)n^x+6
Can you please teach me how to do this?
squaring both sides ... 36 = n^(2x)
multiplying by n ... 36 n = n^(2x + 1)
excellent, Scott
To answer this question, we need to break it down step by step.
Step 1: We are given the equation 6 = n^x. We want to find an expression that represents 36n.
Step 2: Notice that 36 can be expressed as the product of 6 and 6: 36 = 6 * 6.
Step 3: Substitute 6 * 6 for 36 in the expression we are looking for: 36n.
Step 4: Now, substitute n^x back into the expression: (6 * 6)n.
Step 5: Simplify the expression: 36n.
So, the expression that represents 36n is (6 * 6)n. Now let's compare it to the given options.
a) n^6x: This is different because it does not have the factor of 6, so it is not the correct answer.
b) n^6x+1: This adds 1 to the exponent, so it is not the correct answer.
c) n^2x+1: This is a different expression that includes an exponent of 2, so it is not the correct answer.
d) n^x+3: This adds 3 to the exponent, so it is not the correct answer.
e) n^x+6: This adds 6 to the exponent, so it is not the correct answer.
Therefore, the correct answer is option b) (6 * 6)n.