Review 1) 5^{x-7}=3^{2x+1} 2) 11e^{-4x}=21

nuais6lfp

nuais6lfp

Answered question

2021-11-11

Review
1) 5x7=32x+1
2) 11e4x=21

Answer & Explanation

Daniel Williams

Daniel Williams

Beginner2021-11-12Added 14 answers

Step 1
To solve the equations for the value of x
Step 2
1) Solution, using logarithms
1) 5x7=32x+1
Take log an both sides:
(x7)log5=(2x+1)log3
x(log52log3)=log3+7log5
x=log3+7log5log52log3=21.036
Step 3
2) Solution, applying logarithms
2) 11e4x=21
e4x=11214x=ln(1121)
so, x=0.25×ln(1121)=0.1617

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