Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 9 Answered

Find all the values of 'a' for which the following equalities hold true
question image
Asked by kdimple765 | 18 Dec, 2022, 07:10: PM
answered-by-expert Expert Answer
To solve the logarithms:
(ii) log1/3 a = 4
(iii) loga 1 = 0
(iv) log3 (a2 + 1) = 1
Solution:
left parenthesis ii right parenthesis
log subscript 1 divided by 3 end subscript space straight a equals 4
rightwards double arrow open parentheses 1 third close parentheses to the power of log subscript 1 divided by 3 end subscript space straight a end exponent space equals open parentheses 1 third close parentheses to the power of 4
Since comma space straight x to the power of log subscript straight x space straight y end exponent space equals space straight y
rightwards double arrow straight a equals open parentheses 1 third close parentheses to the power of 4 equals 1 over 81

left parenthesis iii right parenthesis
log subscript straight a space 1 equals 0
rightwards double arrow straight a to the power of log subscript straight a space 1 end exponent equals straight a to the power of 0
rightwards double arrow straight a equals 1

left parenthesis iv right parenthesis
log subscript 3 space left parenthesis straight a squared plus 1 right parenthesis equals 1
rightwards double arrow 3 to the power of log subscript 3 space left parenthesis straight a squared plus 1 right parenthesis end exponent equals 3 to the power of 1
rightwards double arrow straight a squared plus 1 equals 3
rightwards double arrow straight a squared equals 2
rightwards double arrow straight a equals plus-or-minus square root of 2
Answered by Renu Varma | 19 Dec, 2022, 11:15: AM

Concept Videos

ICSE 9 - Maths
Asked by shreyaiyer2609 | 13 Jan, 2024, 07:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by kdimple765 | 18 Dec, 2022, 07:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Q2.
question image
Asked by sksraghav67 | 07 Jul, 2022, 08:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by parmarn9428 | 11 May, 2022, 09:25: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by sayakkar2 | 22 Feb, 2022, 11:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by shivaink8 | 17 Feb, 2022, 05:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by vreena8770 | 07 Sep, 2021, 10:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by chatterjeesomenath76 | 20 Jul, 2021, 08:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by janhavitopkhane68.9spicertl | 26 Jul, 2020, 05:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Asked by janhavitopkhane68.9spicertl | 24 Jul, 2020, 07:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×