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3 years ago

What is the value of logo^6 1/36?

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

log₆(1/36) = log₆(6⁻²) = -2

_____

The relationship between logs and exponential forms is this:

$b^a=c\\\log_b{(c)}=a \qquad\text{the exponent is the log}$

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

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A survey of eating habits showed that approximately

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Answer a just of food

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devlian [24]

The rates that are equivalent to this rate is 90 pages/hr

<h3>Rate of change</h3>

The rate is the number of pages Michael read in 1 hour.

If he read 135 pages in 1 1/2 hours then;

135 pages = 1.5 hours

To determine the rate, we will have:

x = 1 hour

Divide both expressions:

135/x = 1.5/1

1.5x = 135

x = 135/1.5

x = 90

Hence the rates that are equivalent to this rate is 90 pages/hr

Learn more on rate here: brainly.com/question/119866

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At how many different times will the digit 7 appear on a digital clock in 24 hours?(show your work and explain your strategy bel

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First step to solve this equation 5k+6=-9

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Answer:

Subtract 6 from both sides of this equation.

Step-by-step explanation:

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