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a) b) c) log3(-9)- since 3 is positive, the exponent for 3* can produce -9. The inverse of the exponential function y = a* is also a function. The domain of a transformed logarithmic function is always {x E R}.

a) b) c) log3(-9)- since 3 is positive, the exponent for 3* can produce -9. The inverse of the exponential function y = a* is also a function. The domain of a transformed logarithmic function is always {x E R}.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) c) d) e) f) g) h) i) log3(-9) – since 3 is positive, the exponent for 3* can produce -9. The inverse of the exponential function y = a* is also a function. The domain of a transformed logarithmic function is always {x € R}. The inverse of the exponential function y = b*, is obtained by interchanging the x and the y coordinates. While any number can be used as the base of a logarithm, the most common base is 2. Given a > 0 and b>0, it follows that (logå b)(logħ a) = 0 If f−¹(x) = 6*, then f(x) = log 6x. −1 -=- loga - loga x X When 0 < a < 1, the exponential function is a decreasing function and the logarithmic function is also a decreasing function.
Transcribed Image Text:b) c) d) e) f) g) h) i) log3(-9) – since 3 is positive, the exponent for 3* can produce -9. The inverse of the exponential function y = a* is also a function. The domain of a transformed logarithmic function is always {x € R}. The inverse of the exponential function y = b*, is obtained by interchanging the x and the y coordinates. While any number can be used as the base of a logarithm, the most common base is 2. Given a > 0 and b>0, it follows that (logå b)(logħ a) = 0 If f−¹(x) = 6*, then f(x) = log 6x. −1 -=- loga - loga x X When 0 < a < 1, the exponential function is a decreasing function and the logarithmic function is also a decreasing function.
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