Ask a Doubt
Request a call back

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

ICSE Class 9 Answered

Questions
1
2
3
4
5
6
7
8
9
10
Question 6

Prove that 9log 4 = 16log 3

Asked by akash kumar | 11 Jul, 2017, 05:13: PM
answered-by-expert Expert Answer
begin mathsize 16px style Consider comma 9 to the power of log 4 end exponent equals straight x rightwards double arrow open parentheses 3 squared close parentheses to the power of log 4 end exponent equals straight x rightwards double arrow 3 to the power of 2 log 4 end exponent equals straight x Taking space log space on space both space sides comma rightwards double arrow log 3 to the power of 2 log 4 end exponent equals log space straight x rightwards double arrow 2 log 4 space cross times log 3 equals logx............. left parenthesis straight i right parenthesis Let comma space 16 to the power of log 3 end exponent equals straight y rightwards double arrow open parentheses 4 squared close parentheses to the power of log 3 end exponent equals straight y rightwards double arrow 4 to the power of 2 log 3 end exponent equals straight y Taking space log space on space both space sides comma rightwards double arrow log 4 to the power of 2 log 3 end exponent equals logy rightwards double arrow 2 log 3 cross times space log 4 equals logy........... left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis logx equals logy rightwards double arrow straight x equals straight y Hence comma space proved space that space 9 to the power of log 4 end exponent equals 16 to the power of log 3 end exponent end style
Answered by Sneha shidid | 12 Jul, 2017, 09:19: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 9 - Maths
how to solve
question image
Asked by shreyaiyer2609 | 13 Jan, 2024, 07:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
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 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
Mathematics question
question image
Asked by parmarn9428 | 11 May, 2022, 09:25: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
logx102 - 2logx2 = 2
Asked by sayakkar2 | 22 Feb, 2022, 11:13: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Evaluate log 5 – 4 log 2 + log 32
Asked by shivaink8 | 17 Feb, 2022, 05:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Logx100 -2logx2 =2 find th vale of x  
Asked by vreena8770 | 07 Sep, 2021, 10:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
If log10^8=0.90,find the value of:-log 0.126
Asked by chatterjeesomenath76 | 20 Jul, 2021, 08:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Solve  for x:log10 (x-5)=-1
Asked by janhavitopkhane68.9spicertl | 26 Jul, 2020, 05:14: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Express  as a single  logarithm:- 3+1/2 log10  9-2 log10  5
Asked by janhavitopkhane68.9spicertl | 24 Jul, 2020, 07:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×