# 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

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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cheekabooy

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