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Lilit [14]
3 years ago
8

Solve the exponential equation

D%20" id="TexFormula1" title=" {10}^{ - x} = {7}^{4x} " alt=" {10}^{ - x} = {7}^{4x} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tom [10]3 years ago
5 0
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
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