Solve the Following Graphically $2 ^ { x } = 3$

question 370

Multiple Choice

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-The exact solution to an exponential equation such as $2 ^ { x } = 3$ can be expressed in three forms: $\log _ { 2 } 3 , \frac { \log 3 } { \log 2 }$ , or $\frac { \ln 3 } { \ln 2 }$ . Give the exact solution to the following exponential equation in three forms. $3 ^ { x } = 11$

• A) \(\log _ { 11 } 3 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }\)
• B) \(\log _ { 3 } 11 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }\)
• C) \(\log _ { 11 } 3 ; \frac { \log 3 } { \log 11 } ; \frac { \ln 3 } { \ln 11 }\)
• D) \(\log _ { 3 } 11 ; \frac { \log 11 } { \log 3 } ; \frac { \ln 11 } { \ln 3 }\)

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Definitions:

Antitrust Violations

Antitrust Violations refer to actions or agreements by businesses that unfairly restrict competition and violate laws established to promote fair competition in the marketplace.

Sherman Act

A foundational antitrust law in the United States passed in 1890 that prohibits monopolies and any unreasonable constraints of trade.

Market Competition

The rivalry among businesses to attract customers and gain market share through price, product quality, services, and innovation.

Unfairly Restricting

refers to practices or policies that unduly limit the freedoms or opportunities of individuals or entities, often in a manner that is deemed unjust or biased.