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Which equation is equivalent to 2^3x = 10

1 Answer

1 vote


\huge\text{Hey there!}


\mathsf{2^(3x) = 10}


\large\textsf{Take the logarithm to both sides:}


\mathsf{log(2^(3x)) = log(10)}


\mathsf{3x * (log(2)) = log(10)}


\large\textsf{Simplify it:}


\mathsf{3x = (log(10))/(log(2))}


\large\textsf{Simplify this as well:}


\mathsf{3x = 3.321928}


\large\textsf{Divide 3 to both sides of your current equation:}


\mathsf{(3x)/(3) = (3.321928)/(3)}


\large\textsf{Lastly, simplify that last bit of the equation:}


\mathsf{x = (3.321928)/(3)}


\mathsf{x = 1.107309}


\huge\text{Thus, your answer should be: \boxed{\mathsf{x = 1.107309}}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Anarhikos
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