Sold the equation. Round to the nearest hundredth. 17 · 1.8^(-x+7) = 5

Question

Sold the equation. Round to the nearest hundredth.

17 ·
`1.8^(-x+7) = 5`

Answer 1

Final answer is approx x=4.26.

Explanation:

Given equation is
`1.8^(-x+7) = 5`

Now we need to solve equation
`1.8^(-x+7) = 5` and round to the nearest hundredth.

`1.8^(-x+7) = 5`

`\log(1.8^(-x+7)) = \log(5)`

`(-x+7)\log(1.8) = \log(5)`

`(-x+7) = (\log(5))/(\log(1.8))`

`(-x+7) = (0.698970004336)/(0.255272505103)`

`-x+7 = 2.73813274192`

`-x = 2.73813274192-7`

`-x =−4.26186725808`

`x =4.26186725808`

Round to the nearest hundredth.

Hence final answer is approx x=4.26.