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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 70RE
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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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