what's the answer to 343^x+1=49^1/3
I assume this is meant to be \(343^{x+1}=49^\frac{1}{3}\)
This can be written as \(7^{3(x+1)}=7^\frac{2}{3}\) because 343 = 7^3 and 49 = 7^2
Hence 3(x+1) = 2/3
3x + 3 = 2/3
x+1 = 2/9
x = 2/9 - 1
x = -7/9
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