Math, asked by mehtashanvi338, 8 months ago

please help me I'll mark u as brainliest please solve step by step​

Attachments:

Answers

Answered by pernicious78
0

Answer:

x=3

Step-by-step explanation:

(5/12)^8*(12/5)^-4=(125/1728)^x

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x5^12/12^12={(5^3)/(12^3)}^x

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x5^12/12^12={(5^3)/(12^3)}^x(5/12)^12=(5/12)^3x

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x5^12/12^12={(5^3)/(12^3)}^x(5/12)^12=(5/12)^3x(As the base is equal at both the sides)

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x5^12/12^12={(5^3)/(12^3)}^x(5/12)^12=(5/12)^3x(As the base is equal at both the sides)12=3x

125/1728)^x5^8/12^8*5^4/12^4=(125/1728)^x5^12/12^12={(5^3)/(12^3)}^x(5/12)^12=(5/12)^3x(As the base is equal at both the sides)12=3xx=12/3=4

Answered by bandanapkarmakar
0

Answer:

x=4

Step-by-step explanation:

(5/12)^8(5/12)^4 = ((5/12)^3)^x                    

[a^m*a^n=a^m+n] & [(a^m)^n=a^mn]          

(5/12)^8+4=(5/12)^3x                                    

(5/12)^12=(5/12)^3x                                              

(equate the powers)

12=3x  

12/3=x  

4=x

HOPE THIS HELPS  

PLZ MARK AS BRAINLIEST

Similar questions