Question

if 2 log ( x+3)= log8 then x=
​

Answer 1

Answer:

3 logx = log S.

x70

leg x² = log 8 3 x³ = 8.

3 x³ 8=0 +(x-2) (x²³² +4 +²x) = 0 2

२ x²+2x+400

x₂ = -1+i√√3

xz = -1- i V3.

in 12 : one solution x=2

in I 3 Solutt 2, -1+√3 (-1-i√3

Answer 2

Explanation:

log(x+3)/log8= 1/2

log_8(x+3)=1/2

(8)^1/2= x+3

±√8= x+3

x= ±√8-3

but -√8-3 has to be excluded as a valid solution since x+3 becomes negative when it is substituted, since log(x) can only take positive inputs.

thus x = √8-3

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