Math, asked by hrik21, 1 year ago

plzzz solve it fast no. 20

in the following image through logarithm

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Answers

Answered by abhi178
2
20 ) log( a + b)/log2 = log(a - b)/log5 = log4/log( 0.5)

log( a +b)/log2 = log4 /log(1/2)

log{ ( a + b) base 2 } =- log4/log2

log{( a + b) base 2} = -log( 4 base 2)

(a + b) = 1/4 --------(1)


again,

log( a - b)/log5 = - log 4/log2

log(a - b)/ log5 = - 2log2/log2 = -2

log( a - b) = -2log5

log( a - b) = log( 1/25)

a - b = 1/25 ---------(2)

solve equations (1) and (2)

2a = 1/4 + 1/25 = 29/100

a = 29/200

and b = 1/4 -29/200 = 21/200




abhi178: is this answer
hrik21: i donno
hrik21: yes its correct
hrik21: nxt time try to do it in copy and thn post it here.
hrik21: just try karna
abhi178: okay
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