Answer:
30
1.301
Step-by-step explanation
f(x) and g(x) are inverse functions. Note that the logrithmic notation for 
So, when x = 1.477, f(x) = y = 30
and when x = 20, g(x) = y = 1.301
If you expand the left hand side, the inequality becomes
As you can see, 
appears on both sides, which means that it cancels out. You can subtract from both sides to get
and this is clearly always true. If you interpreted the inequality with words, it would sound like
"For which values of n is 18 greater than 8"
Since the inequality does not depend on n anymore and the remaining part is true (18 is indeed greater than 8), every possible value of n satisfies the inequality.
Answer:
Step-by-step explanation:
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
6
x
)
=
ln
(
66
)
Expand
ln
(
6
x
)
by moving
x
outside the logarithm.
x
ln
(
6
)
=
ln
(
66
)
Divide each term by
ln
(
6
)
and simplify.
Tap for more steps...
x
=
ln
(
66
)
ln
(
6
)
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
66
)
ln
(
6
)
Decimal Form:
x
=
2.33829083
…
A rate is a ratio of two quantities: miles per hour, calories per cookie,dollars per person, ... a unit rate just specifies the units (miles, hours) of<span> the two quantities.</span>
It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.
