Which equation is equivalent to log y = 2x + 1? (A) y = 10(100)^x(B) y = 10^x(C) y=e^2x+1 (D) y = e^2

EunoR 2021-01-13 Answered

Which equation is equivalent to \(\log y = 2x + 1\)?
(A) \(y = 10(100)^x\)
(B) \(y = 10^x\)
(C) \(y=e^2x+1\)
(D) \(y = e^2\)

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Expert Answer

cheekabooy
Answered 2021-01-14 Author has 27034 answers

Exponentiate both sides of the equation and simplify:
\(\log y=2x+1\)
\(10^{\log y}=10^{2x}+1\)
\(y=10^{2x}\times10^1\)
\(y=100^x\times10\)
\(y=10(100)^x\)
Equation A

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