SOLUTION: I have tried doing this exponential equation but can't figure it out. Can you please help me? 7 ^(x-2/6) = sqrt. 7

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Question 130714This question is from textbook
: I have tried doing this exponential equation but can't figure it out. Can you please help me?
7 ^(x-2/6) = sqrt. 7
This question is from textbook

Answer by cngriffith(27) About Me  (Show Source):
You can put this solution on YOUR website!
I am not sure which way to read this problem. I will work it both ways.
If it is 7^x-2/6=sqrt7
change sqrt7 to 7^1/2
equate the two exponents x-2/6=1/2
solve for x x=1/2+2/6 get commom denominator
x=3/6+2/6
x=5/6
or if the problem is
7^(x-2)/6=7^1/2
equate exponents and solve the equation for x
(x-2)/6=1/2 This is a proportion, so cross multiply.
2x-4=6
2x=10
x=5