Math, asked by aaira2, 1 year ago

Help me with this question please!

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Answers

Answered by QUEEN007
10
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 ..!!


siddhartharao77: c=4, So 8 * 4 = 32
QUEEN007: ya
aaira2: Thank you so much dear
QUEEN007: No problem
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