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how do you graph and solve logarithmic and exponential equations

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1 Answer

3e^(-2x)=12
e^(-2x)=4
ln[e^(-2x)]=ln(4)
-2x=1.38629436112
x=-0.69314718056
 
2^(x+1)+3=9
2^(x+1)=6
(2^x)(2^1)=6
(2^x)=3
log(2^x)=log(3)
xlog(2)=log(3)
(x)(0.30102999566)=0.47712125472
x=(0.47712125472)/(0.30102999566)
x=1.584962502
 
2+ln(x+3)=13
ln(x+3)=11
ln(x)=loge(x)=y implies e^y=x
e^11=x+3
59,874.1417152=x+3
x=59,871.1417152