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