log2(X+2)-3*log8(x+3)=2

Greetings All,

I need your assistance to solve below Log Equation ASAP, this equation came with different bases:

log2(X+2)-3*log8(x+3)=2

 

Thank and I do really appreciate your quick response and cooperation in advance,

 

regards,

Lama

 

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1 Answer

log2(x+2) -3*log8(x+3)=2

8=2^3, so log8=(1/3)log2

log2(x+2) -log2(x+3)=2

log2[(x+2)/(x+3)]=2

thus, (x+2) / (x+3)=2^2=4

x+3=4*(x+3)

x+3=4x+12

3x=3-12=-9

x=-3
by

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