Advertisements
Advertisements
प्रश्न
Express the following logarithmic equation in exponential form
log2 64 = 6
उत्तर
Logarithmic form | Exponential form |
log2 64 = 6 | 26 = 64 |
APPEARS IN
संबंधित प्रश्न
Let A = {−2, −1, 0, 1, 2} and f : A → Z be a function defined by f(x) = x2 − 2x − 3. Find:
(b) pre-images of 6, −3 and 5.
Let f : R+ → R, where R+ is the set of all positive real numbers, such that f(x) = loge x. Determine
(c) whether f(xy) = f(x) : f(y) holds
Let f : R → R and g : C → C be two functions defined as f(x) = x2 and g(x) = x2. Are they equal functions?
f, g, h are three function defined from R to R as follow:
(iii) h(x) = x2 + 1
Find the range of function.
If \[y = f\left( x \right) = \frac{ax - b}{bx - a}\] , show that x = f(y).
Let f and g be two real functions defined by \[f\left( x \right) = \sqrt{x + 1}\] and \[g\left( x \right) = \sqrt{9 - x^2}\] . Then, describe function:
(vii) f2 + 7f
If A = {1, 2, 3} and B = {x, y}, then the number of functions that can be defined from A into B is
If x ≠ 1 and \[f\left( x \right) = \frac{x + 1}{x - 1}\] is a real function, then f(f(f(2))) is
If \[f\left( x \right) = \frac{\sin^4 x + \cos^2 x}{\sin^2 x + \cos^4 x}\] for x ∈ R, then f (2002) =
The domain of the function \[f\left( x \right) = \sqrt{\frac{\left( x + 1 \right) \left( x - 3 \right)}{x - 2}}\] is
The range of the function \[f\left( x \right) = \frac{x}{\left| x \right|}\] is
The range of the function \[f\left( x \right) = \frac{x + 2}{\left| x + 2 \right|}\],x ≠ −2 is
Which of the following relations are functions? If it is a function determine its domain and range:
{(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)}
Check if the following relation is a function.
Check if the following relation is a function.
Check if the relation given by the equation represents y as function of x:
x2 − y = 25
If f(m) = m2 − 3m + 1, find `f(1/2)`
Find the domain and range of the following function.
f(x) = 7x2 + 4x − 1
Express the following exponential equation in logarithmic form
`9^(3/2)` = 27
Express the following exponential equation in logarithmic form
e2 = 7.3890
Express the following logarithmic equation in exponential form
ln e = 1
Write the following expression as a single logarithm.
ln (x + 2) + ln (x − 2) − 3 ln (x + 5)
Given that log 2 = a and log 3 = b, write `log sqrt(96)` in terms of a and b
If f(x) = ax2 − bx + 6 and f(2) = 3 and f(4) = 30, find a and b
If `log(( x - y)/4) = logsqrt(x) + log sqrt(y)`, show that (x + y)2 = 20xy
Answer the following:
Let f : R – {2} → R be defined by f(x) = `(x^2 - 4)/(x - 2)` and g : R → R be defined by g(x) = x + 2. Examine whether f = g or not
Answer the following:
Find the domain of the following function.
f(x) = `sqrt(x - 3) + 1/(log(5 - x))`
Given the function f: x → x2 – 5x + 6, evaluate f(2)
Given the function f: x → x2 – 5x + 6, evaluate f(x – 1)
A function f is defined by f(x) = 2x – 3 find `("f"(0) + "f"(1))/2`
A function f is defined by f(x) = 2x – 3 find x such that f(x) = f(1 – x)
Let A = {1, 2, 3, 4} and B = N. Let f : A → B be defined by f(x) = x3 then, find the range of f
The domain of the function f(x) = `sqrtx` is ______.
The range of the function f(x) = `(x^2 - 3x + 2)/(x^3 - 4x^2 + 5x - 2)` is ______
Mapping f: R → R which is defined as f(x) = sin x, x ∈ R will be ______
If a function f(x) is given as f(x) = x2 – 6x + 4 for all x ∈ R, then f(–3) = ______.
Find the domain of the following function.
f(x) = `x/(x^2 + 3x + 2)`
Find the range of the following functions given by `|x - 4|/(x - 4)`