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Express the following exponential equation in logarithmic form 10−2 = 0.01 - Mathematics and Statistics

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प्रश्न

Express the following exponential equation in logarithmic form

10−2 = 0.01

योग

उत्तर

Exponential form Logarithmic form
10−2 = 0.01

– 2 = log10 (0.01)

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अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११९]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 17. (f) | पृष्ठ ११९

संबंधित प्रश्न

fgh are three function defined from R to R as follow:

(i) f(x) = x2

Find the range of function.

 

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: 

(iii) f g


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: 

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

 

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

(i) f + g

 


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5 log x + 7 log y − log z


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Answer the following:

Identify the following relation is the function? If it is a function determine its domain and range.

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Find the range of the following function.

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For what value of x is f(x) = 1?


A function f is defined by f(x) = 3 – 2x. Find x such that f(x2) = (f(x))2


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.

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Height 'y' 
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If the domain of function f(a) = a2 - 4a + 8 is (-∞, ∞), then the range of function is ______


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\phantom{...........}\ce{\underset{n radical signs}{\underline{\uparrow\phantom{........}\uparrow}}}
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The period of the function

f(x) = `(sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x)` is ______.


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