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Use logarithms to solve. e2x – ex – 56 = 0 - -

Use logarithms to solve. e2x – ex – 56 = 0 - -

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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Use logarithms to solve. e2a – ex – 56 = 0 Enter the exact answer (i.e. keep your answer in exponential or logarithmic form, you do not need to calculate its numeric value). Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c * In (h). Hints: • Remember by the rule of exponents, that e2 a = (e")² so that you can try to factor this as (et + something) (e? + something else) where the "something" and "something else" can be positive or negative numbers. Alternately, you could let y = et and this equation would be y2 – y – 56 = 0 and you can solve %3D first for y and then for r.
Transcribed Image Text:Use logarithms to solve. e2a – ex – 56 = 0 Enter the exact answer (i.e. keep your answer in exponential or logarithmic form, you do not need to calculate its numeric value). Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c * In (h). Hints: • Remember by the rule of exponents, that e2 a = (e")² so that you can try to factor this as (et + something) (e? + something else) where the "something" and "something else" can be positive or negative numbers. Alternately, you could let y = et and this equation would be y2 – y – 56 = 0 and you can solve %3D first for y and then for r.
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