Answer: 3
Step-by-step explanation:
reverse the problem
0.6=x/5
0.6 times 5 = 3
check your work
3/5=0.6
0.6=0.6
The answer is the third answer because it is the only option where the number 45 is multiplied by something bigger than 1. If something is multiplied by something smaller than one then it will be smaller than the number multiplied.
Aka: 45x0.8 is 36, because 0.8 is smaller than one
10 is the base. If you get stuck on anymore problems like this you can tell which one is the base by looking where the exponent is in the problem. Hope this helps!!
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
Answer:
True
Step-by-step explanation:
64x³ + 125
64x³ = (4x)³ ← a perfect cube
125 = 5³ ← a perfect cube
Thus 64x³ + 125 ← is a sum of cubes
