Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Updated On: 11-5-2021

Apne doubts clear karein ab Whatsapp par bhi. Try it now.

CLICK HERE

Loading DoubtNut Solution for you

Watch 1000+ concepts & tricky questions explained!

7.7 K+

300+

Text Solution

Solution :

`f(x) = log_(5)(log_(4)(log_(3)(log_(2)x)))` <br> We know that log(x) is defined when `x gt 0` <br> `:.` f(x) is defined only when <br> `log_(4)(log_(3)(log_(2)x)) gt 0` and `log_(3)(log_(2)x)) gt 0` and `log_(2)(x) gt 0, x gt 0` <br> `log_(3)(log_(3)(x)) gt 1` and `log_(2)(x) gt 1` and `x gt 1, x gt 0` <br> `log_(2)(x) gt 3` and `x gt 2` <br> `x gt 8` <br> `:.` f(x) is well defined when `x gt 8`. <br> `:. D_(f) = (8, oo)`Transcript

Time | Transcript |
---|---|

00:00 - 00:59 | Navya given your to find a domain of a function f x is equal to log base 5 log West Ho log base 3 log ways to write where to find its domain right so we see here that graph of log x graph of log x is like graph of log like this for base greater than zero right so it will be something like this means a function is defined for greater than zero Saudi storm must be greater than zero right so from here we can say that log log base 4 log base 3 log base 2 X must be greater than zero right |

01:00 - 01:59 | no she is both side appositive phrase both side appositive so power come to the soviets come to the right side so it will become log base 3 log base 2 X and it will become base of the power 0 right sorry there will be four so that we can write this is log base 3 log base 2 X and photo the power 0 is 1 similarly 3 will come to the right side and it will become base of the power so log base 2 X greater than 3 to the power 1 write similarly we can write this is log base 2 x is equal to or greater than three right now to come to the right |

02:00 - 02:59 | side and it will become base of the power so we can write this as X greater than 2 to the power 3 and from here we can say that X must be greater than 8 so admin will be origin of X will be sorry here it will be a to infinity right so it will be 882 Infinity so I domain is this so this is answer thank you guys thank you for watching this |

**meaning of function**

**Modulus; signum; greatest integer and fractional part function**

**representation of function**

**Physical interpretation**

**Domain codomain and range of function**

**Graph of function: Vertical line test**

**Identity function**

**Explain Constant function with graph**

**Modulus function and properties**

**Greatest integer function and properties**