Need help with algebra

determine if its true or not
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1. 3e^x+2=75

a. x= -2+e^25
b. x= -2+ln25
c. x is approximately equal to 1.2189
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2. Log base 4(3x)=3

a. x is approximately equal to 21.3560
b. x= -4
c. x= 64/3
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3. ln( x-1 )=3.8

a. x=1+e^3.8
b. x is approximately equal to 45.7012
c. x= 1+ln3.8
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Answers
for
1:
no,yes,yes approximately

2:
yes approximately, no, yes

3:
yes, yes approximately, no

1) 3e^(x+2)=75
e^(x+2)=25
x + 2 = ln(25)
x = ln(25) - 2
or
x = 2(ln(5) - 1))
b, c => answer

2) log4(3x) = 3
3x = 4^3 = 64
x = 64/3
a , c=> answer

3. ln( x-1 )=3.8

a. x=1+e^3.8
b. x is approximately equal to 45.7012