The graph of a logarithmic function is shown below. On a coordinate plane, a curve starts at y = negative 2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2.

What is the domain of the function?

x 0
x < 1

all real numbers

x > 0

Step-by-step explanation:

Domain of a function is defined by the set of x-values of the graph of a function.

From the graph attached,

x-values are starting from x > 0 [Since x ≠ 0] and moves towards infinity,

Therefore, domain of the function will be,

(0, ∞) Or x > 0

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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