Question

1 - log5= (1)/(3)(log(1)/(2)+log x+(1)/(3)log 5)

Solve this lograthmic equation from
PROBLEMS OF MATHEMATICS WITH HINTA AND SOLUTIONS

SECTION 1.9 Q.NO.135​

Answer 1

Answer:

1-log5 = 1/3{ log(1/2) + logx + (1/3)log5}

=> 3 - 3log5 = -log2 + log x +  log 5^{1/3}51/3

=> 3 = log { \frac{x. 5^{ \frac{1}{3} }.5^{3} }{2}=3

=> log(x/2) = 3

=> x/2 = e³

=> x=2×e³

Step-by-step explanation:

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