Question

I dont know where i got it wrong can someone help me please

Answer 1

`-5*6^{n\text{ -10}}=-72\text{ }`

Step 1: Divide both sides by -5

`\frac{-5*6^{n\text{ -10}}}{-5}\text{ =}(-72)/(-5)`
`6^{n\text{ -10}}\text{ = 14.4}`

Step 2: Take the log of both sides

`(n-10)\text{ log 6 = log 14.4}`

log 6 = 0.7782

log 14.4 = 1.1584

(n - 10) x 0.7782 = 1.1584

Step 3: Divide both sides by 0.7782

`\frac{(n-10)\text{ x 0.7782}}{0.7782}\text{ =}(1.1584)/(0.7782)`

n - 10 = 1.4885

Step 3: Add 10 to both sides

n = 10 + 1.4885

n = 11.4885