To solve for x in the equation 49^(1-2x) = 343, we need to rewrite 343 as a power of 7, since 49 and 343 are both powers of 7.
Notice that 343 is equal to 7^3.
Therefore, we can rewrite the equation as:
7^2(1-2x) = 7^3
Now we can simplify by multiplying the exponent 1-2x by 2:
7^2 - 4x = 7^3
49 - 4x = 343
Subtract 49 from both sides:
-4x = 294
Now divide by -4:
x = -73.5
Therefore, x = -73.5.
To solve for x in the equation 49^(1-2x) = 343, we need to rewrite 343 as a power of 7, since 49 and 343 are both powers of 7.
Notice that 343 is equal to 7^3.
Therefore, we can rewrite the equation as:
7^2(1-2x) = 7^3
Now we can simplify by multiplying the exponent 1-2x by 2:
7^2 - 4x = 7^3
49 - 4x = 343
Subtract 49 from both sides:
-4x = 294
Now divide by -4:
x = -73.5
Therefore, x = -73.5.