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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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Use logarithms to solve.
e2x – et – 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 e- * = (et)- so that you can try to factor this as
+ something) (et + something else) where the "something" and "something else" can be
(et
positive or negative numbers.
Alternately, you could let y = et and this equation would be y2 – y – 56 = 0 and you can solve
first for y and then for x.
= x
In*12
Transcribed Image Text:Use logarithms to solve. e2x – et – 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 e- * = (et)- so that you can try to factor this as + something) (et + something else) where the "something" and "something else" can be (et positive or negative numbers. Alternately, you could let y = et and this equation would be y2 – y – 56 = 0 and you can solve first for y and then for x. = x In*12
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