Answer:
b=7
Step-by-step explanation:
We want to determine the positive base b in which:

The easiest way to approach this is to convert all the numbers to base 10.


Next, we factorize the resulting expression.

The positive value of b for which the equality hold is 7.
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
<span>8x^2-8x-13 is the correct answer </span>
Answer:

Step-by-step explanation:
To solve this operation we need to find the common multiple of both denominators and solve for a.

Thus, the solution is 7(a -1) / (a+2)(a-5)
These are the answers. You subtract 6 from -3 giving you n≥-9. Since n/3 is a fraction, in order to undo it we must multiply it to the other side, giving us n≤-63.
1. n≥-9
3. n≤-63
I hope it helped!