Expand the logarithm.
ln((-3e^5)/(x^3))

ln(3) + 5 - 3ln(x) or 6.0986 - 3ln(x)

Step-by-step explanation:

= , since ln(x/y) = ln(x)-ln(y)

= ln(3) + , since ln(xy) = ln(x) + ln(y)

= ln(3) +

= , since ln() = yln(x)

= ln(3) + 5 -3ln(x) , since ln(e)=1

if needed further simplification,

ln(3) = 1.0986

ln(e) = 1

= 6.0986 - 3ln(x)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.