SOLUTION: Please show me how to solve for x here: 7^x+2=343 Thank you and God bless:)

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Question 1093273: Please show me how to solve for x here:
7^x+2=343
Thank you and God bless:)

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
You must write 7^(x+2)=343, enclosing the exponent in parentheses.

7%5E%28x%2B2%29=343

We must break down the number 343.  We try dividing it by 3, but it
gives 114.333... (no good!)  We know it cannot be divisible by 5 
because it does not end in 0 or 5. So we divide it by 7, and get

343 = 7*49 = 7*7*7 = 73 

Then we write 343 as 73

7%5E%28x%2B2%29=7%5E3

And we use the principle that says if the bases of the exponentials
are the same on both sides, and that base is positive but not
equal to 1, then we may set the exponents equal and drop the base:

x%2B2=3

x=1

Edwin