plzzz solve it fast no. 20
in the following image through logarithm
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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
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:
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