Math, asked by tanirika, 1 year ago

Log(2x-3) is equal to 1 find x

YogitShankar: the answer is 13/2 or e+3/2 depending upon the base

Smithkhuvio: log(2x-3)=1

Smithkhuvio: after finding the antilog on both sides

Smithkhuvio: we have,2x-3=10

Smithkhuvio: or x=13/2

YogitShankar: Arre bhai it's not mentioned whether it's the natural log Or common log

Smithkhuvio: oh but anyway log 10 =1 so we can get the answer from there

Answers

Answered by kkclasses

log0=1
so comparing
2x-3=0
x=3/2

YogitShankar: wrong yaar

Smithkhuvio: noob log0 is undefined

Smithkhuvio: log 10 is 1

Smithkhuvio: so answer is 13/2

Smithkhuvio: or 6.5

YogitShankar: yeah

YogitShankar: if the base is 10

Answered by YogitShankar

since
$log_{a}(a) = 1 \\ log(2x - 3) = 1 \\ 2x - 3 = 10 \: or \: 2 x - 3 = e \\$

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