SOLUTION: (1/3)log<sub>2</sub>(x+6) = log<sub>8</sub>3x
Algebra
.Com
Question 62233
:
(1/3)log
2
(x+6) = log
8
3x
Answer by
kapilsinghi(68)
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(1/3)log
2
(x+6) = log
8
3x
=> (1/3)log
2
(x+6) = (log
2
3x)/(log
2
8)
=> (1/3)log
2
(x+6) = (log
2
3x)/3*(log
2
2)
=> (1/3)log
2
(x+6) = (1/3)(log
2
3x)
=> log
2
(x+6) = (log
2
3x)
Taking antilog on both sides
=> (x+6) = 3x
=> 2x = 6
=> x = 3
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