Question

HELP ASAP! Find solutions (MULTIPLE) for the equation:

6^x+2=8
E is a correct answer, I need help finding the others
(100 points!!)

Answer 1

`\\ \rm\rightarrowtail 6^(x+2)=8`

`\\ \rm\rightarrowtail (6)^(x+2)=2^3`

`\\ \rm\rightarrowtail ln6^(x+2)=ln2^3`

`\\ \rm\rightarrowtail (x+2)ln6=3ln2`

`\\ \rm\rightarrowtail xln6+2ln6=3ln2`

`\\ \rm\rightarrowtail xln6+2ln2+2ln3=3ln2`

`\\ \rm\rightarrowtail xln6+2ln3=3ln2-2ln2`

`\\ \rm\rightarrowtail xln6+2ln3=ln2`

`\\ \rm\rightarrowtail xln3+xln2+2ln3=ln2`

`\\ \rm\rightarrowtail (x+2)=(ln8)/(ln6)`

`\\ \rm\rightarrowtail x=(ln8)/(ln6)-2`

Another

`\\ \rm\rightarrowtail (x+2)ln6=ln8`

`\\ \rm\rightarrowtail (x+2)ln6=ln2^3`

`\\ \rm\rightarrowtail (x+2)ln6=3ln2`

`\\ \rm\rightarrowtail x+2=(3ln2)/(ln6)`

`\\ \rm\rightarrowtail x=(3ln2)/(ln6)-2`

Answer 2

`x = (3in(2))/(in(6)) - 2`

Solving steps:

`-›6 {}^(x + 2) = 8`

Apply exponents rule

`-›(x +2)in(6) = in(8)`

Solve for (x + 2) in(6) = in(8)

`-›x = (3in(2))/(in(6)) - 2`