7x-1 * 49x = 343.
Firstly, we know that 49 = 72. Therefore, 49x = 72x.
7x-1 * 72x = 343.
Now, using the law of exponents, we add the 2 exponents due to the same bases.
73x - 1 = 343.
343 is a power of 7, 73 (49 * 7 = 343), therefore:
73x - 1 = 73.
Logarithm base 7 on both sides, resulting in a simple algebra problem:
3x - 1 = 3
Add 1:
3x = 4
Divide by 3:
x = 4/3.
However, there can be a far more complex problem. If 49x was actually 49x. This becomes 72x, and multiplying to 7x - 1 gets 7x + 1 * x = 343. Divide by 7, yielding:
7x * x = 49
Divide:
1 = 49/(7x * x)
Reformat:
1 = (72 - x)/x
Divide:
1/49 = 7-x/x
Reformat into exponential form:
1/49 = 1/x * e-x*ln(7)
Multiply by -ln(7):
-ln(7)/49 = -ln(7)/x * e-x*ln(7).
Lambert W-function:
x = (W(49*ln(7)))/ln(7) = 1.7210013512... (rounded up).
73 = 343
343 is 7 to the power of 3 ( 7 x 7 x 7 = 343) To find 7 to the 3 power to the 2/3 power you multiply the exponents and raise 7 to that power: 3 x 2/3 = 2 7^2 = 49
x = 3.2140958497160386
3rd root of 343 = 77^3 = 343
7x-149x = 343 -142x = 343 Divide both sides of the equation by -142 to find the value of x: x = -343/142 or -2.415492958 to nine decimal places Check: -142*-2.415492958 = 343
It is: 12.25*28 = 343
The answer equals 343
They are 7 times 49 = 343
To figure this out you simply multiply: 7 x 7 x 7 = 343
seven 7 x 7 x 7 = 49 x 7 = 63 + 280 = 343 = 7³
42.875 = 343 / 8343 = 738 = 237/2 = 3.5
343