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2 years ago

Rewrite e^{x}= y into logarithmic form.

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

$x=\ln{y}$

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.

$\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}$

are equivalent.

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WV is the

PilotLPTM [1.2K]

Answer:

WV is the perpendicular bisector of UT.

3 0

3 years ago

Questions attached as screenshot below:Please help me I need good explanations before final testI pay attention

Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

$a=\frac{d^2s}{dt^2}$

Differentiate the position vector with respect to t.

$\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}$

Differentiate both sides of the obtained equation with respect to t.

$\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}$

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

$\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}$

The initial position is obtained at t=0. Substitute t=0 in the given position function.

$\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}$

8 0

1 year ago

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to y=5

koban [17]

Answer:

I do not konw. SOREY

Step-by-step explanation:

4 0

2 years ago

Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y = – 2x + 5

velikii [3]

Answer:

--2

Step-by-step explanation:

hope this helps if not sorry

3 0

3 years ago

If a number’s composite form is 343, which of the following shows its exponential form as a product of prime numbers? A.7 · 49 B

Levart [38]

Answer:

a is the answer

Step-by-step explanation:

7×7×7=343

7×7=49

49×7=343

8 0

3 years ago