The seventh root of a number is the number that, when raised to the power of 7, equals the original number. To find the seventh root of 128, you would calculate 128^(1/7), which is approximately 2.0801. This means that 2.0801 raised to the power of 7 is equal to 128.
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It is: 2 to the power of 7 = 128
Two raised to the seventh power is 128.
Two.Two.Two.Two.
2.245 =====
If we take the logarithm of both sides, then it is log(4^x) = log(128). Then from logarithm rules, this can be changed to: x*log(4) = log(128), then x = log(128)/log(4). You can punch this into a calculator and get the answer, but what if we use log base 2, we don't need a calculator. So log2(4) = 2, because 2² = 4. And log2(128) = 7, because 2^7 = 128. So we have x = 7/2 = 3.5, then you can check your answer: 4^3.5 = (4^3)*(4^.5). So 4 cubed = 64, and 4 raised to the 1/2 power is the square root of 4, which is 2. So 64 times 2 = 128.