Solve the following exponential equation. Express the solution set in terms of n

ringearV

ringearV

Answered question

2021-11-04

Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
70.7x=597
The solution set expressed in terms of logarithms is { }.
(Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

Answer & Explanation

pierretteA

pierretteA

Skilled2021-11-05Added 102 answers

ln(70.7x)=ln(597) 
0.7xln(7)=ln(597  
0.7x=ln(597)ln(7) 
x=ln(597)ln(7)(0.7) 
x=ln(597)ln(7)(710) 
x=ln(597)107ln(7) 
x=10ln(597)7ln(7) 
ln(597)107ln(7)4.693 
The solution set in term of logarithms is 
{10ln(597)7ln(7)}

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