Answer:
x = -9
Step-by-step explanation:
3^4х = 27^(x-3)
Replace 27 with 3^3
3^4х = 3^3^(x-3)
We know that a^b^c = a^ (b*c)
3^4х = 3^(3(x-3))
Since the bases are the same, the exponents are the same
4x = 3(x-3)
Distribute
4x =3x-9
Subtract 3x from each side
4x-3x = 3x-3x-9
x = -9
Answer:
x=
4
log
,256
Step-by-step explanation:
1 Regroup terms.
16x=4log,409616x=4log,4096
2 Break down the problem into these 2 equations.
16x=4log16x=4log
16x=409616x=4096
3 Solve the 1st equation: 16x=4log16x=4log.
x=\frac{log}{4}x=
4
log
4 Solve the 2nd equation: 16x=409616x=4096.
x=256x=256
5 Collect all solutions.
x=\frac{log}{4},256x=
4
log
,256
Done
Step-by-step explanation:
- 6x-3=11
- 6x=11+3
- 6x=14
- x=14/3
- x=2.33
- 15=x/3+2
- 15-2=x/3
- 13=x/3
- x=13×3
- x=39
- -4(x-1)=7(x+4)
- -4x+1=7x+28
- -4x-7x=28-1
- -11x=27
- x=27/-11
- x=2.45
- 3(2x+1)=6x
- 6x+1=6x
- 6x-6x=1
- <em>No </em><em>solution</em>
Answer:
1) A=XB
2) (A-C)/B
Step-by-step explanation:
1) to keep A alone convert B to the other side with multiplication A=XB
2) To keep X alone. First C goes to the other side be minus A-C=BX
then B goes the other side with division (A-C)/B=X
Sophia got $122.64 after the currency exchange.
Sophia initially had $1,000 and she exchanged it to rand at an exchange rate of 7.15 rand to $1.
$1000 * 7.15 rand = 7150 rand
Out of the 7150 rand, 6274 was spent leaving 876 rand to be exchanged into US dollar.
1 rand is equivalent to $0.14.
876 rand * $0.14 = $122.64
