find the value of x: 5 power x-2 multiplied with 3 power 2x – 4 is equal to 5. give me the answer with check please.

Question

ADARSH SINGH · Answer

Hi friend,

hope you know logarithms basic theory as it is requiered to solve this question.
Answer :-
given,
5^(x-2) X 3^(2x-4) = 5
or 3^(2x-4) =5/5^(x-2)
or 3^(2x-4) = 5^(1-x+2)
or ln3^(2x-4)= ln5^(1-x+2)
or (2x-4)ln3=(1-x+2)ln5
or 2x-4 = 4.8 -1.6 (since value of ln3=1 and value of ln5=1.6 approx)
or 0.4x=8.8
or x=22.
hope you got your answer.
please feel free to comment back if you know something else about this problem.

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

find the value of x: 5 power x-2 multiplied with 3 power 2x – 4 is equal to 5. give me the answer with check please.

find the value of x:
5 power x-2 multiplied with 3 power 2x – 4 is equal to 5.
give me the answer with check please.

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 9 grade maths

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

find the value of x: 5 power x-2 multiplied with 3 power 2x – 4 is equal to 5. give me the answer with check please.

find the value of x:5 power x-2 multiplied with 3 power 2x – 4 is equal to 5.give me the answer with check please.

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 9 grade maths

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

find the value of x:
5 power x-2 multiplied with 3 power 2x – 4 is equal to 5.
give me the answer with check please.