Question

( I NEED ASAP) For which value of n is the equation true?

17 • 107n = - 34
A.
7 log10 (- 2)
B.
negative space fraction numerator log space left parenthesis 2 right parenthesis over denominator 7 end fraction
C.
log17 (34) = 2
D.
fraction numerator log space left parenthesis negative 2 right parenthesis over denominator 7 end fraction

Answer 1

Answer: None of the options below (A, B, C, D).

Explanation:

To find the value of n for which the equation 17 • 107n = -34 is true, we can solve for n using algebraic manipulation.

Start by dividing both sides of the equation by 17 to isolate the exponential term: 107n = -34/17

Simplify the right side of the equation: 107n = -2

Take the logarithm of both sides of the equation. Since the base of the exponential term is 10, we can use the logarithm base 10 (log10): log10(107n) = log10(-2)

Apply the logarithmic property log(ab) = b * log(a): n * log10(107) = log10(-2)

Evaluate the logarithm of 107 using a calculator: n * 2.0301 = log10(-2)

Since logarithms of negative numbers are undefined in the real number system, there is no value of n that satisfies the equation. Therefore, the answer is none of the given options (A, B, C, D).