SOLUTION: {{{4^(x+1) + 4^(x-1) = 10}}}

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Question 972534: 4%5E%28x%2B1%29+%2B+4%5E%28x-1%29+=+10
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
(Early steps are abbreviated)

4%5E%28x-1%2B2%29%2B4%28x-1%29=10

4%5E%28x-1%294%5E2%2B4%5E%28x-1%29=10

4%5E%28x-1%29%2A17=10

4%5E%28x-1%29=10%2F17

next is use logarithms, any base you want.

log%28%2810%2F17%29%29=log%28%284%5E%28x-1%29%29%29

log%28%2810%2F17%29%29=%28x-1%29%2Alog%28%284%29%29

highlight%28log%28%2810%2F17%29%29%2Blog%28%284%29%29=x%29