How do you use change of base formula

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e.

Step-by-step explanation:

You might be interested in

y = 2x squared + 5x -3 can be written in the form y= 2( x+a) squared + b . Find the value of a and the value of b.

Elan Coil [88]

General vertex form:

$y = m(x − a)² + b \: with \: vertex \: at \: (a, b)$

Given :

$y = 2x² + 5x - 3$

Extract "spread factor" m

$y = 2( x² + \frac{5}{2} x) - 3$

Complete the square

$y = 2(x² + \frac{5}{2}x + ( \frac{5}{4})²) - 3$

$- 2( \frac{5}{4})²$

Write as a squared binomial and simplify the constant

$y = 2(x + \frac{5}{4})² - 6 \frac{1}{8}$

Re-write to match signs of standard general form:

$y = 2(x - ( - \frac{5}{4}))² \: + ( - 6 \frac{1}{8})$

3 0

2 years ago

John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales

marshall27 [118]

<span>So we want to know how long will the scale drowing of the building be if the building is 265.25m long and the scale is 1 inch on the drawing is equal to 25 meters of the building. To find the answer lets scale the building. If the real length of the building is 256.25 meters, then the number of inches will be: 256.25/25=10.25 inches. </span>

4 0

3 years ago

E=mc? what goes after c

Jet001 [13]

C: is the speed of light (3*10^8 m/s) and it is squared (raised to the power 2) in this equation.

3 0

3 years ago

Read 2 more answers

A car is traveling 60 mi per hour what is the cars speed in ft per second

pogonyaev

Round about...90 feet per second

6 0