solve for x.
8^6+3x=16
well you minus 8^6 to the other side and solve for x
If it is as she wrote it then
3 x = 8^1 (2) - 8^1*8^5 = 8 (2-8^5)
x = (8/3)(2-8^5)
2 is negligible compared to 8^5
x = -(8/3)(8^5)
or about
-87380
I think she might mean
8^(6+3x) = 16
(6+3x) log 8 = log 16
To solve for x in the equation 8^6 + 3x = 16, we can follow these steps:
Step 1: Simplify the equation by calculating 8^6.
8^6 equals 262,144, so the equation becomes:
262,144 + 3x = 16
Step 2: Isolate the variable term by subtracting 262,144 from both sides of the equation:
262,144 - 262,144 + 3x = 16 - 262,144
This simplifies to:
3x = -262,128
Step 3: Solve for x by dividing both sides of the equation by 3:
(3x) / 3 = (-262,128) / 3
This gives us the value of x:
x = -87,376
Therefore, x is equal to -87,376.