[tex]-5\times6^{n\text{ -10}}=-72\text{ }[/tex]
Step 1: Divide both sides by -5
[tex]\frac{-5\times6^{n\text{ -10}}}{-5}\text{ =}\frac{-72}{-5}[/tex][tex]6^{n\text{ -10}}\text{ = 14.4}[/tex]
Step 2: Take the log of both sides
[tex](n-10)\text{ log 6 = log 14.4}[/tex]
log 6 = 0.7782
log 14.4 = 1.1584
(n - 10) x 0.7782 = 1.1584
Step 3: Divide both sides by 0.7782
[tex]\frac{(n-10)\text{ x 0.7782}}{0.7782}\text{ =}\frac{1.1584}{0.7782}[/tex]
n - 10 = 1.4885
Step 3: Add 10 to both sides
n = 10 + 1.4885
n = 11.4885
