Answer:
x = 1/3 ln(2)
Step-by-step explanation:
e^(3x)+6=8
Subtract 6 from each side
e^(3x)+6-6=8-6
e^(3x) = 2
Take the natural log of each side
ln (e ^3x) = ln (2)
3x = ln(2)
Divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
For the first one (aka 7) you would write 10² wich is the same as 10×10 and so the answer is 100
For the second one (aka 8) you would write 3×3×3×3×3×3×3×3×3 and the answer is 486 square miles
Answer:
Step-by-step explanation:
3(x + 4) - 5 = 2x + 4
solve for x
x = -3
You can only solve this by having the same base on each side. So to change 1/27, you can use 3^-3, which is then multiplied through. So the equation is:
4x-5=-3(2x+10)
4x-5=-6x-30
10x=-25
x=-2.5
