Suppose for Some Base B > 0 (B ≠ 1) $\log _ { b } \left( \frac { 1 } { 125 } \right)$

question 4

Essay

Suppose for some base b > 0 (b ≠ 1) that logb 2 = A, logb 3 = B, logb 5 = C, and logb 7 = D. Express the given logarithms
in terms of A, B, C, or D.
- $\log _ { b } \left( \frac { 1 } { 125 } \right)$
A) $- 3 C$
B) $3 C$
C) $3 \mathrm { D }$
D) $- 3 \mathrm { D }$

• A) \(- 3 C\)
• B) \(3 C\)
• C) \(3 \mathrm { D }\)
• D) \(- 3 \mathrm { D }\)

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Definitions:

Bonds Mature

The point in time when a bond's principal amount is due to be paid back to the bondholder.

Interest Payments

Payments made to a lender by a borrower in return for the use of borrowed money, typically represented as an annual percentage of the loan principal.

Unrealized Gain

An increase in the value of an asset that has not been sold yet; hence, the gain is not reflected in the income statement.

Stock Investment

The purchase of shares in a company with the expectation of earning a return in the form of dividends or capital gains.