Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms. based on this f(x)=100 solve for x
100=20(1.5)^x

100/20=(1.5)^x

5=(1.5)^x

log1.5(5)=log1.5(1.5)^x

log1.5(5)=x

x=log1.5(5)

x=3.97 years

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

kk.bj.

step-by-step explanation:

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