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Solve the exponential equation {10}^( - x) = {7}^(4x)

Solve the exponential equation {10}^( - x) = {7}^(4x)
asked 170k views
4 votes
Solve the exponential equation

{10}^( - x) = {7}^(4x)

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User Shsteimer
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7.6k points

1 Answer

5 votes

10^(-x)=7^(4x)\\ \ln 10^(-x)=\ln 7^(4x)\\ -x \ln 10=4x\ln 7\\ -x \ln 10-4x\ln 7=0\\ x(-\ln 10-4\ln 7)=0\\ x=0
answered
User Praveenpds
by
7.9k points
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