Question

solve the given exponential equation 3 to the power 4x =1 by 81
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Answer 1

Answer:

x = -1

Step-by-step explanation:

$Heya! \\ \\ Given,\\ \\=> 3^{4x} =\frac{1}{81} \\\\ 81 =(3)(3)(3)(3) = 3^{4} \\\\ => 3^{4x} =\frac{1}{3^{4}} \\\\=> 3^{4x}=3^{-4} \\\\ bases \ are \ equal \ so\ exponents \ also \ should \ be \ equal. \\\\ =>4x=-4 \\\\=>x=\frac{-4}{4} \\\\=> x=-1 \\\\ HOPE \ IT \ HELPS..!$