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 Given log102=a and log103=b. If 3x+2=45, then the value of 1ab=

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By Expert Faculty of Sri Chaitanya
a
x2
b
x
c
2x
d
x6

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detailed solution

Correct option is B

Given that log10⁡2=a and log10⁡3=b  given that 3x+2=45⇒x+2log3 3 =log 45 3 ⇒ x+2=log3⁡9+log3⁡5=2+log3⁡5⇒x=log3⁡5 Consider 1−ab=1−log10⁡2log10⁡3=log10⁡10−log10⁡2log10⁡3=log10⁡5log10⁡3=log3⁡5=x


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