Question

Please help its 5 questions also can u let me know if u can help me with the other ones

Answer 1

`1.76` days

Explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution
`y=9^(5x)`

Lets solve for x.

Step 1.

Rewirte the equation as
`y=a^(bx)`. Where
`a=9` and
`b=5`.

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

`ln(y)=b*x*ln(a)`

Step 3.

Divide both sides of the equation by
`b`

`(ln(y))/(b) =x*ln(a)`

Step 4.

Divide both sides of the equation by
`ln(a)`

`(ln(y))/(b*ln(a)) =x`

Now we have our equation to solve for the number of days.

Step 5.

Plug
`9` back in for
`a` and
`5` back in for
`b`.

`(ln(y))/(5*ln(9)) =x`

Step 6.

We are given 243 million for
`y`.

Lets plug in 243 million.

`(ln(243,000,000))/(5*ln(9)) =x`

Step 7.

Solve for x.

`x=1.7575419...`

Lets round to the hundreth's place.

`x=1.76`

1.76 days