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Digital SAT
Digital SAT Mathematics - No Calculator Section

Finding Exponential Function Intersection

Very Hard Passport To Advanced Math Exponential Functions

Consider the exponential function defined by the equation:

$$ f(x) = 2^x + 3 $$

Let the function intersect the line given by the equation:

$$ g(x) = 7 $$

Determine the value of $$ x $$ where the two functions are equal. Provide your answer in the form of a grid-in, as both an exact fraction and its decimal representation.

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