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9. log,x = -5

9. log,x = -5

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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9. Evaluations of each logarithm
The image contains a mathematical expression labeled "9." It reads as follows: \[ \log_{2} x = -5 \] This expression is a logarithmic equation where the base is 2, indicating that \( x \) is a power of 2. The equation states that the logarithm (base 2) of \( x \) is equal to \(-5\). In exponential form, this can be rewritten as: \[ x = 2^{-5} \] This means \( x \) is the same as \( \frac{1}{32} \) since \( 2^{-5} \) equals \(\frac{1}{2^5}\), which simplifies to \(\frac{1}{32}\). There are no graphs or additional diagrams in this image.
Transcribed Image Text:The image contains a mathematical expression labeled "9." It reads as follows: \[ \log_{2} x = -5 \] This expression is a logarithmic equation where the base is 2, indicating that \( x \) is a power of 2. The equation states that the logarithm (base 2) of \( x \) is equal to \(-5\). In exponential form, this can be rewritten as: \[ x = 2^{-5} \] This means \( x \) is the same as \( \frac{1}{32} \) since \( 2^{-5} \) equals \(\frac{1}{2^5}\), which simplifies to \(\frac{1}{32}\). There are no graphs or additional diagrams in this image.
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