हिंदी

Express the following logarithmic equation in exponential form In 12 = – 0.693 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Express the following logarithmic equation in exponential form

In `1/2` = – 0.693

सारिणी

उत्तर

Logarithmic form Exponential form
In `1/2` = – 0.693 `"e"^(-0.693) = 1/2`
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११९]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 18. (g) | पृष्ठ ११९

संबंधित प्रश्न

Find the domain of the function  f(x) = `(x^2 + 2x + 1)/(x^2 - 8x + 12)`


Let A = {9, 10, 11, 12, 13} and let f: A → N be defined by f(n) = the highest prime factor of n. Find the range of f.


Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine

(a) the image set of the domain of f


Let f : R → R and g : C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?


Let X = {1, 2, 3, 4} and Y = {1, 5, 9, 11, 15, 16}
Determine which of the set are functions from X to Y.

(a) f1 = {(1, 1), (2, 11), (3, 1), (4, 15)} 


If f(x) = loge (1 − x) and g(x) = [x], then determine function:

(iii) \[\frac{f}{g}\]

 

Let f(x) = x2 and g(x) = 2x+ 1 be two real functions. Find (g) (x), (f − g) (x), (fg) (x) and  \[\left( \frac{f}{g} \right) \left( x \right)\] .

 

Write the range of the function f(x) = sin [x], where \[\frac{- \pi}{4} \leq x \leq \frac{\pi}{4}\] . 


If \[f\left( x \right) = \log \left( \frac{1 + x}{1 - x} \right)\] , then \[f\left( \frac{2x}{1 + x^2} \right)\]  is equal to

 

 


If 2f (x) − \[3f\left( \frac{1}{x} \right) = x^2\] (x ≠ 0), then f(2) is equal to

 

If x ≠ 1 and \[f\left( x \right) = \frac{x + 1}{x - 1}\] is a real function, then f(f(f(2))) is

 

If  \[e^{f\left( x \right)} = \frac{10 + x}{10 - x}\] , x ∈ (−10, 10) and \[f\left( x \right) = kf\left( \frac{200 x}{100 + x^2} \right)\] , then k =

 

The domain of the function

\[f\left( x \right) = \sqrt{2 - 2x - x^2}\] is
 

The domain of the function \[f\left( x \right) = \sqrt{5 \left| x \right| - x^2 - 6}\] is

 

Check if the following relation is function:


If f(m) = m2 − 3m + 1, find f(0)


If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b.


If f(x) = `{(x^2 + 3","  x ≤ 2),(5x + 7","  x > 2):},` then find f(2)


Check if the following relation is a function.


Check if the following relation is a function.


Find x, if g(x) = 0 where g(x) = 6x2 + x − 2


Find the domain and range of the following function.

f(x) = `sqrt((x - 2)(5 - x)`


An open box is made from a square of cardboard of 30 cms side, by cutting squares of length x centimeters from each corner and folding the sides up. Express the volume of the box as a function of x. Also find its domain


If `log((x + y)/3) = 1/2 log x + 1/2 logy`, show that `x/y + y/x` = 7


If f(x) = 3x + 5, g(x) = 6x − 1, then find (f + g) (x)


If f(x) = 3x + 5, g(x) = 6x − 1, then find (f − g) (2)


The equation logx2 16 + log2x 64 = 3 has,


Answer the following:

A function f is defined as : f(x) = 5 – x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 5


Answer the following:

Let f : R → R be given by f(x) = x + 5 for all x ∈ R. Draw its graph


Answer the following:

For any base show that log (1 + 2 + 3) = log 1 + log 2 + log 3


Answer the following:

If `log_2"a"/4 = log_2"b"/6 = log_2"c"/(3"k")` and a3b2c = 1 find the value of k


A plane is flying at a speed of 500 km per hour. Express the distance ‘d’ travelled by the plane as function of time t in hour


The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.

Length ‘x’ of
forehand (in cm)
Height 'y' 
(in inches)
35 56
45 65
50 69.5
55 74

Find the height of a person whose forehand length is 40 cm


The function f and g are defined by f(x) = 6x + 8; g(x) = `(x - 2)/3`

Write an expression for gf(x) in its simplest form


Find the domain of the function f given by f(x) = `1/sqrt([x]^2 - [x] - 6)`


Let f(x) = `sqrt(x)` and g(x) = x be two functions defined in the domain R+ ∪ {0}. Find (f – g)(x)


Domain of `sqrt(a^2 - x^2)  (a > 0)` is ______.


The domain and range of the function f given by f(x) = 2 – |x – 5| is ______.


The domain of the function f(x) = `1/sqrt(|x| - x)` is ______.


The domain of f(x) = `sin^-1 [log_2(x/2)]` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×