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2 years ago

11

Write the equation log216 36=36 in logarithmic form

1 answer:

Zielflug [23.3K]2 years ago

3 0

This is impossible and it is not even an equation since $\log_{216} 36 = 2/3$

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If the gradient of the tangent to

Marizza181 [45]

Answer:

Point A(9, 3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Anything to the 0th power is 1
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em /> $\displaystyle y = \sqrt{x}$ <em />

<em /> $\displaystyle y' = \frac{1}{6}$ <em />

<em />

<u>Step 2: Differentiate</u>

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y = x^{\frac{1}{2}}$
Basic Power Rule: $\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}$
Simplify: $\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}$
[Derivative] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}$
[Derivative] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y' = \frac{1}{2\sqrt{x}}$

<u>Step 3: Solve</u>

<em>Find coordinates of A.</em>

<em />

<em>x-coordinate</em>

Substitute in <em>y'</em> [Derivative]: $\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}$
[Multiplication Property of Equality] Multiply 2 on both sides: $\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}$
[Multiplication Property of Equality] Cross-multiply: $\displaystyle \sqrt{x} = 3$
[Equality Property] Square both sides: $\displaystyle x = 9$

<em>y-coordinate</em>

Substitute in <em>x</em> [Function]: $\displaystyle y = \sqrt{9}$
[√Radical] Evaluate: $\displaystyle y = 3$

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

7 0

2 years ago

X(x-y) - y( x- y) simplify

Rudik [331]

Step-by-step explanation:

x²-xy-xy+y²

x²+2xy+y²

hope it helps

3 0

2 years ago

Solve for x: 4x^2 + 2(2x + 2)^2 = 100

balu736 [363]

Would it be 4(1)^2+2(2(1)+2)^2=100

8 0

2 years ago

Read 2 more answers

Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28y%2B2%29%5E%7B2%7D%20%7D%20%3D%20c" id="TexFormula1" titl

r-ruslan [8.4K]

Answer:

Not quite sure what you're meant to solve for, but my solution is below.

Step-by-step explanation:

The square root of a value squared is the absolute value of that value, because squaring removes all negatives. Therefore:

$\sqrt{(y+2)^2}=c$

$\mid y+2\mid=c$

$\mid y\mid =c-2$

Hope this helps!

7 0

2 years ago

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase o

sweet-ann [11.9K]

See also brainly.com/question/8975313

The growth factor is 2.

The increase is (2 -1)*100% = 100% per period.

5 0

2 years ago