Help me with this question please!
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Hey Friend ☺
2^a = 4^b = 8^c
abc = 288
4^b = ( 2^2 )^b
= 2^2b
8^c = ( 2^3 )^c
= 2^3c
so
2^a = 2^2b = 2^3c
so
a = 2b = 3c
a = 2b
b = a/2
a = 3c
c = a/3
a*b*c = 288
a*a/2*a/3 = 288
a^3/6 = 288
a^3 = 288 × 6
a^3 = 12 × 12 × 12
a = 12
So a = 12
b = a/2
= 12/2
= 6
c = a/3
= 12/3
= 4
1/2a + 1/4b + 1/8c
= 1/24 + 1/24 + 1/32
= 2/24 + 1/32
= 1/12 + 1/32
= 8 + 3/96
=11/96
Hope it helps you ..!!
✌
2^a = 4^b = 8^c
abc = 288
4^b = ( 2^2 )^b
= 2^2b
8^c = ( 2^3 )^c
= 2^3c
so
2^a = 2^2b = 2^3c
so
a = 2b = 3c
a = 2b
b = a/2
a = 3c
c = a/3
a*b*c = 288
a*a/2*a/3 = 288
a^3/6 = 288
a^3 = 288 × 6
a^3 = 12 × 12 × 12
a = 12
So a = 12
b = a/2
= 12/2
= 6
c = a/3
= 12/3
= 4
1/2a + 1/4b + 1/8c
= 1/24 + 1/24 + 1/32
= 2/24 + 1/32
= 1/12 + 1/32
= 8 + 3/96
=11/96
Hope it helps you ..!!
✌
siddhartharao77:
c=4, So 8 * 4 = 32
ya
Thank you so much dear
No problem
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