Find the exact solution, using common logarithms, and

Frances Simon

Frances Simon

Answered question

2022-04-13

Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution,when appropriate.
5x+125(5x)=30
we have to find the exact solution.
5x+1255x=30
5x+1255x=30
let 5x=t

Answer & Explanation

gsmckibbenx7ga

gsmckibbenx7ga

Beginner2022-04-14Added 17 answers

t+125t=30
t2+125=30t
t230t+125=0
t225t5t+125=0
t(t25)5(t25)=0
(t5)(t25)=0
t=5,25
now as
5x=5
taking logarithm both side we get
log5x=log5
xlog5=log5
x=1
also  
5x=25
taking log both side we get
log5x=log25
log5x=log52
xlog5=2log5
x=2

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