Find the solution for the exponential equation in

Santos Mooney

Santos Mooney

Answered question

2022-04-07

Find the solution for the exponential equation in terms of logarithms. 8x2=51x

Answer & Explanation

awalkbyfaithbzu6

awalkbyfaithbzu6

Beginner2022-04-08Added 21 answers

Given equation is 8x2=51x
Consider the given equation 8x2=51x
Taking log on both sides of the equation
log8x2=log51xx2log8=(1x)log5
log82log5=1xxlog8log52=(1x1)
log8log25+1=1xlog8+log25log25=1x
log(8×25)log25=1xlog200log25=1x
x=log25log200x=0.60752793805

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